{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0, 1, 2, 3, 4, 5, 6, 7, 8, 9])"
      ]
     },
     "execution_count": 75,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data = np.arange(10)\n",
    "data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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QV5aISJD4aks1U+aVUH3USWSojYfHDuSGIclmz5IAp9AQEQlwbo/Bc5+UM/uzLRgG9EuMoTA3iz6JMWZPkyCg0BARCWD7HQ1MLrbz7fZDAEw4M4UHr0onMsxm8jIJFgoNEZEAtbT8ALfPL+FQXSPRYTZmXjeIazK7mT1LgoxCQ0QkwLjcHp5aXM4Ln28FoH/XWObkZtGrczuTl0kwUmiIiASQPUeOMbnYzsqdhwG4+ezu3H/FACJCdVQi5lBoiIgEiE837id/QSlH6puICQ+h4PpBXDk4yexZEuQUGiIifq7J7eHxDzfy0pfbARjULY7C3Cx6xEebvExEoSEi4tcqD9UzqdhOSeURAG4Z3pPpY9IID9FRifgGhYaIiJ/6aN0+7lpYiqPBRWxECI/fkMFlA7uYPUvkBAoNERE/43S5KXh/I/9YvgOAjJT2FOZkkdIxytxhIieh0BAR8SM7D9YxschO2e4aAG4blcpdl6YRFmI1eZnIySk0RET8xHtr9jJt0RpqnS7aR4Xy5A0ZXDwg0exZIj9JoSEi4uMamtw88t56XvmmAoAhPTowOyeLpPaRJi8T+XkKDRERH7a9uo68V1ezfq8DgD+cfwb5l/Ql1KajEvEPCg0RER/1Vslu7n29jLpGNx2jw3h6fAbn90swe5ZIsyg0RER8zLFGNzPeWce87yoBOCu1I7MmZNElLsLkZSLNp9AQEfEhW6pqyXvVzqb9tVgsMOmC3ky+qA8hOioRP6XQEBHxEa+t2sUDb67lWJObTu3CefbGTEb26WT2LJHTotAQETFZfaOLB95cx6LVuwAYfkY8z07IJCFGRyXi/5p9LW737t3cfPPNxMfHExUVRWZmJqtWrfLGNhGRgLdpXy1XF37FotW7sFog/5K+/Os3wxQZEjCadUXj8OHDjBgxggsuuIAPPviAhIQEtm7dSvv27b21T0QkIBmGwYKVlfzprXU4XR4SYsJ5bkIW55wRb/Y0kVbVrNB47LHHSElJ4eWXXz5+W8+ePX/yY5xOJ06n8/ivHQ5H8xaKiASYo04X979RxpslewA4t29nnh6fQad24SYvE2l9zTo6efvttxk6dCjjxo0jISGBrKwsXnrppZ/8mIKCAuLi4o6/paSknNZgERF/tn6Pg6tnL+PNkj3YrBbuvqwf/7jlTEWGBCyLYRjGqb5zRMS/zwzz8/MZN24cK1asYOrUqfz1r3/ll7/85Uk/5mRXNFJSUqipqSE2NvY054uI+AfDMHj12woeenc9jS4PXeMimJWTxZk9O5o9TeSUOBwO4uLimv343azQCAsLY+jQoSxfvvz4bZMnT+a7777j66+/9upQERF/5WhoYvrrZby3Zi8AF6Yl8NS4DDpEh5m8TOTUtfTxu1nP0ejatSsDBgw44bb+/fuzaNGi5vw2IiJBo2xXDXlFq6k4VE+I1cI9l6Xxm5GpWK0Ws6eJtIlmhcaIESPYtGnTCbeVl5fTo0ePVh0lIuLvDMPgn8t3MPP9jTS6PXRrH8ns3Cyyu3cwe5pIm2pWaNx+++0MHz6cmTNnMn78eFasWMHcuXOZO3eut/aJiPidmvom7l5Uykfr9gMwekAiT9yQQVxUqMnLRNpes56jAfDuu+8yffp0Nm/eTGpqKvn5+dx2222n/PF6joaIBDJ7xWEmFdvZdfgYoTYL947pzy3De2Kx6KhE/FubPBm0NSg0RCQQGYbB35dt5y8fbMTlMejeMYrC3CwGJ+sFDSUwtMmTQUVE5IcO1zVy58JSlmysAmDMoC785frBxEboqEREoSEichpW7TzEpCI7e2oaCAux8sCVA7h5WHcdlYj8h0JDRKQFPB6Dv36xjSc/3oTbY5DaKZrC3CzSk+LMnibiUxQaIiLNdPCok/wFpSwtPwDA1RlJzLxuEO3C9S1V5Pv0t0JEpBm+3XaQyfPs7Hc4CQ+xMuPqdG48M0VHJSI/QqEhInIK3B6D5z/bwjOflOMx4IzO0cy5KZu0LvrpOZGfotAQEfkZB2qd3D6/hGVbqgG4LrsbD18zkGgdlYj8LP0tERH5Ccu3VDN5XgnVR51Ehtp4eOxAbhiSbPYsEb+h0BAROQm3x+C5JZuZ/elmDAP6JrZjTm42fRJjzJ4m4lcUGiIi37Pf0cCUeXa+2XYIgAlnpvDgVelEhtlMXibifxQaIiL/44vyA9w+v4SDdY1Eh9mYed0grsnsZvYsEb+l0BARAVxuD08vLuf5z7cC0L9rLHNys+jVuZ3Jy0T8m0JDRILe3ppjTC62892OwwDcNKw7D1w5gIhQHZWInC6FhogEtU837ueOBaUcrm+iXXgIf7l+EFcOTjJ7lkjAUGiISFBqcnt44qNNzP1iGwCDusVRmJtFj/hok5eJBBaFhogEnV2H65lUbMdecQSAW4b3ZPqYNMJDdFQi0toUGiISVD5et487F5biaHARGxHC4zdkcNnALmbPEglYCg0RCQqNLg8FH2zg5a92AJCR0p7CnCxSOkaZO0wkwCk0RCTgVRysZ2LxatbsqgHgtlGp3HVpGmEhVpOXiQQ+hYaIBLT3y/Zyz2trqHW6aB8VypM3ZHDxgESzZ4kEDYWGiASkhiY3j763gX99sxOAIT06MCsni27tI01eJhJcFBoiEnC2V9cxsWg16/Y4APjD+WeQf0lfQm06KhFpawoNEQkob5fuYfqiNdQ1uukYHcbT4zM4v1+C2bNEgpZCQ0QCQkOTmxnvrKd4RQUAZ6V2ZNaELLrERZi8TCS4KTRExO9tqTrKxKLVbNxXi8UCEy/ozZSL+hCioxIR0yk0RMSvvb56F/e/uZb6Rjed2oXz7I2ZjOzTyexZIvIfCg0R8Uv1jS4efGsdC1ftAmD4GfE8OyGThBgdlYj4EoWGiPid8v215L26ms1VR7FaYMpFfZl4YW9sVovZ00TkexQaIuI3DMNg4cpd/OnttTQ0eUiICee5CVmcc0a82dNE5EcoNETEL9Q5Xdz3RhlvluwBYFSfTjxzYyad2oWbvExEfopCQ0R83vo9DiYWrWZbdR02q4X8S/ryh/POwKqjEhGfp9AQEZ9lGAZFKyqY8c56Gl0eusZFMCsnizN7djR7moicIoWGiPik2oYmpr9exrtr9gJwYVoCT47LoGN0mMnLRKQ5FBoi4nPW7q4hr2g1Ow/WE2K1cPdl/fjtyF46KhHxQwoNEfEZhmHwf7/eyaPvbaDR7aFb+0hm52aR3b2D2dNEpIUUGiLiE2qONXHPa2v4cN0+AC4ZkMiTN2QQFxVq8jIROR0KDRExXUnlESYWrWbX4WOE2ixMv7w/vx7RE4tFRyUi/k6hISKmMQyDvy/bzmMfbqTJbZDSMZLCnGwyUtqbPU1EWolCQ0RMcaS+kTsXruGTDfsBGDOoC3+5fjCxEToqEQkkCg0RaXOrdh5mUtFq9tQ0EGaz8sCV/bn57B46KhEJQAoNEWkzHo/B3C+38cRHm3B7DHrGR1GYm83AbnFmTxMRL1FoiEibOHjUyR0LS/l80wEArs5IYuZ1g2gXrm9DIoFMf8NFxOtWbD/EpOLV7Hc4CQ+x8uer05lwZoqOSkSCgEJDRLzG4zF4/vMtPL24HI8BvTpHMyc3m/5dY82eJiJtRKEhIl5xoNZJ/oISvtxcDcB1Wd14eOxAonVUIhJU9DdeRFrd8i3VTJlfwoFaJ5GhNh66Jp1xQ1PMniUiJlBoiEircXsMZi3ZzKxPN2MY0DexHXNys+mTGGP2NBExiUJDRFpFlaOBKfNK+HrbQQBuHJrCn69OJzLMZvIyETGTQkNETtuXmw9w+/wSqo82EhVmY+a1gxib1c3sWSLiAxQaItJiLreHZz/ZzJzPt2AYkNYlhjk3ZXNG53ZmTxMRH6HQEJEW2VtzjCnFJazYcQiAm4Z154ErBxARqqMSEfl/FBoi0myfbawif0EJh+ubaBceQsF1g7gqI8nsWSLigxQaInLKmtwenvxoE3/9YhsAA7vFUpiTTc9O0SYvExFfpdAQkVOy+8gxJhWtZnXFEQBuGd6T6WPSCA/RUYmI/DiFhoj8rMXr93PnwlJqjjURExHCEzcM5rKBXc2eJSJ+QKEhIj+q0eXhLx9s5P98tR2AjOQ4CnOzSekYZfIyEfEXCg0ROanKQ/VMLFpN6a4aAH4zMpV7LksjLMRq8jIR8ScKDRH5gQ/X7uWu19ZQ2+AiLjKUJ8dlcMmARLNniYgfUmiIyHENTW4K3t/AP7/eCUB29/bMzs2mW/tIk5eJiL9SaIgIADuq68grWs26PQ4AfndeL+4c3Y9Qm45KRKTlFBoiwjule5j+ehlHnS46Rofx1PgMLuiXYPYsEQkACg2RINbQ5Oahd9dT9G0FAGf17MisnCy6xEWYvExEAoVCQyRIbT1wlLxXV7NxXy0WC0y8oDdTLupDiI5KRKQVndZ3lIKCAiwWC1OnTm2tPSLSBt6w7+Kq2cvYuK+WTu3C+L+3nsUdo/spMkSk1bX4isZ3333H3LlzGTx4cGvuEREvOtbo5sG317Jg5S4AzukVz3MTMkmI1VGJiHhHi/7z5ejRo9x000289NJLdOjQobU3iYgXbN5fy9WFy1iwchcWC0y9uA+v/HaYIkNEvKpFoZGXl8cVV1zBxRdf/LPv63Q6cTgcJ7yJSNsxDIMFKyu5qnAZm6uO0jkmnFd/O4ypF/fFZrWYPU9EAlyzj07mzZvHqlWrWLly5Sm9f0FBATNmzGj2MBE5fXVOFw+8uZbX7bsBGNWnE8/cmEmnduEmLxORYNGsKxqVlZVMmTKFV199lYiIU7vcOn36dGpqao6/VVZWtmioiDTPhr0Oripcxuv23VgtcNel/fjnr89SZIhIm7IYhmGc6ju/+eabXHvttdhstuO3ud1uLBYLVqsVp9N5wv92Mg6Hg7i4OGpqaoiNjW35chE5KcMwKF5RyYx31uF0eegSG8GsnCzOSu1o9jQR8WMtffxu1tHJRRddRFlZ2Qm3/frXvyYtLY177rnnZyNDRLyrtqGJe99YyzulewA4v19nnh6fScfoMJOXiUiwalZoxMTEMHDgwBNui46OJj4+/ge3i0jbWru7holFq9lxsB6b1cLdl/bjtlG9sOoJnyJiIr0yqIifMwyDf32zk0fe3UCj20O39pHMysliSA/96LmImO+0Q+Pzzz9vhRki0hI1x5qY/voa3i/bB8DF/RN5ctxg2kfpqEREfIOuaIj4qdLKI0wsXk3loWOE2ixMu7w/t47oicWioxIR8R0KDRE/YxgG/+erHfzlgw00uQ1SOkZSmJNNRkp7s6eJiPyAQkPEjxypb+TOhWv4ZMN+AC4f2IW/XD+YuMhQk5eJiJycQkPET6zaeZjJxXZ2HzlGmM3K/Vf25xdn99BRiYj4NIWGiI/zeAxe+nIbT3y0CZfHoEd8FHNysxnYLc7saSIiP0uhIeLDDtU1cseCEj7bdACAKwd3peC6QcRE6KhERPyDQkPER63YfojJxXb2ORoID7Hy4FXp5JyVoqMSEfErCg0RH+PxGLywdCtPLy7H7THo1TmaObnZ9O+qfxtIRPyPQkPEh1QfdXL7/BK+3FwNwHVZ3Xh47ECiw/VXVUT8k757ifiI5VurmTKvhAO1TiJCrTx0zUDGDUnWUYmI+DWFhojJ3B6D2Z9uZtaSzXgM6JPQjjk3ZdM3McbsaSIip02hIWKiKkcDU+eXsHzrQQDGD01mxtUDiQyzmbxMRKR1KDRETPLl5gPcPr+E6qONRIXZeGTsQK7LTjZ7lohIq1JoiLQxl9vDs59sZs7nWzAMSOsSQ2FuNr0T2pk9TUSk1Sk0RNrQvpoGJhfbWbHjEAC5w7rzpysHEBGqoxIRCUwKDZE28tmmKu5YUMqhukbahYcw87pBXJ2RZPYsERGvUmiIeFmT28OTH2/ir0u3AZCeFMuc3Gx6doo2eZmIiPcpNES8aPeRY0wqWs3qiiMA/OqcHkwf019HJSISNBQaIl6yeP1+7lxYSs2xJmIiQnj8+sFcPqir2bNERNqUQkOklTW6PDz24Ub+vmw7ABnJcczOyaZ7fJTJy0RE2p5CQ6QVVR6qZ2KxndLKfx+V3DoilWmXpxEWYjV5mYiIORQaIq3kw7V7ueu1NdQ2uIiLDOXJcRl8UCpYAAAXuklEQVRcMiDR7FkiIqZSaIicJqfLzcz3NvDPr3cCkN29PbNyskjuoKMSERGFhshp2FFdx8Ti1azd7QDgd+f14s7R/Qi16ahERAQUGiIt9k7pHqa/XsZRp4sOUaE8PT6TC9ISzJ4lIuJTFBoizdTQ5Oahd9dT9G0FAGf27MCsnCy6xkWavExExPcoNESaYeuBo+S9upqN+2qxWCDv/N5MvbgPIToqERE5KYWGyCl6w76L+95YS32jm/joMJ6dkMmoPp3NniUi4tMUGiI/41ijmwffXsuClbsAOKdXPM9NyCQhNsLkZSIivk+hIfITNu+vJa9oNeX7j2KxwJSL+jDpwj7YrBazp4mI+AWFhsiPWLiykgfeWktDk4fOMeE8NyGT4Wd0MnuWiIhfUWiIfE+d08UDb63l9dW7ARjVpxNPj8+kc0y4yctERPyPQkPkf2zY62Bi0Wq2HqjDaoE7RvfjD+edgVVHJSIiLaLQEAEMw6B4RSUz3lmH0+WhS2wEs3KyOCu1o9nTRET8mkJDgl5tQxP3vrGWd0r3AHB+v848PT6TjtFhJi8TEfF/Cg0Jamt31zCxaDU7DtZjs1q4+9J+3Daql45KRERaiUJDgpJhGLzyzU4efncDjW4PSXERzM7NZkiPDmZPExEJKAoNCTqOhiamLVrD+2X7ALi4fyJPjhtM+ygdlYiItDaFhgSV0sojTCxeTeWhY4TaLNxzWRq/GZmKxaKjEhERb1BoSFAwDIOXv9pBwQcbaHIbJHeIpDA3m8yU9mZPExEJaAoNCXhH6hu567U1LF6/H4DL0rvw2A2DiYsMNXmZiEjgU2hIQFtdcZhJRXZ2HzlGmM3K/Vf25xdn99BRiYhIG1FoSEDyeAz+tmwbj3+4CZfHoEd8FHNysxnYLc7saSIiQUWhIQHnUF0jdy4s5dONVQBcObgrBdcNIiZCRyUiIm1NoSEB5bsdh5hcbGdvTQNhIVb+fFU6OWel6KhERMQkCg0JCB6PwQtLt/L04nLcHoNenaKZc1M2/bvGmj1NRCSoKTTE71UfdXL7/BK+3FwNwLVZ3Xhk7ECiw/XlLSJiNn0nFr/29daDTJlnp6rWSUSolYeuHsi4ock6KhER8REKDfFLbo9B4adbeG5JOR4D+iS0Y85N2fRNjDF7moiI/A+FhvidqtoGps4rYfnWgwCMG5LMjGvSiQrTl7OIiK/Rd2bxK8s2VzN1vp3qo41Ehdl4ZOxArstONnuWiIj8CIWG+AWX28NzSzZT+NkWDAPSusRQmJtN74R2Zk8TEZGfoNAQn7evpoHJ8+ys2H4IgJyzuvPgVQOICLWZvExERH6OQkN82uebqshfUMqhukaiw2wUXD+YqzOSzJ4lIiKnSKEhPqnJ7eGpj8t5celWANKTYinMzSa1U7TJy0REpDkUGuJz9hw5xqRiO6t2Hgbgl+f04N4x/XVUIiLihxQa4lM+Wb+fO18r5Uh9EzHhITx2w2DGDOpq9iwREWkhhYb4hEaXh8c/3Mjflm0HYHByHIU52XSPjzJ5mYiInA6Fhpiu8lA9E4vtlFYeAeDWEalMuzyNsBCryctEROR0KTTEVB+u3cfdr5XiaHARGxHCk+MyGJ3exexZIiLSShQaYgqny03B+xv5x/IdAGR1b8/snCySO+ioREQkkCg0pM3tPFjHxCI7ZbtrAPjdub2489J+hNp0VCIiEmgUGtKm3luzl2mL1lDrdNEhKpSnxmdwYVqi2bNERMRLFBrSJhqa3Dzy3npe+aYCgDN7dmBWThZd4yJNXiYiIt7UrGvVBQUFnHnmmcTExJCQkMDYsWPZtGmTt7ZJgNh24CjXPr/8eGT88fwzKL7tbEWGiEgQaFZoLF26lLy8PL755hsWL16My+Vi9OjR1NXVeWuf+Lm3SnZz1exlbNjrID46jH/eehZ3X5ZGiJ6PISISFCyGYRgt/eADBw6QkJDA0qVLOffcc0/pYxwOB3FxcdTU1BAbG9vSuxYfd6zRzYx31jHvu0oAzu7VkecmZJEYG2HyMhERaYmWPn6f1nM0amr+/VMDHTt2/NH3cTqdOJ3O4792OBync5fiB7ZU1ZL3qp1N+2uxWGDyhX2YfFEfbFaL2dNERKSNtTg0DMMgPz+fkSNHMnDgwB99v4KCAmbMmNHSuxE/89qqXTzw5lqONbnp1C6c5yZkMqJ3J7NniYiISVp8dJKXl8d7773HsmXLSE5O/tH3O9kVjZSUFB2dBJj6Rhf3v7mW11fvBmBk7048c2MmnWPCTV4mIiKtoU2PTiZNmsTbb7/NF1988ZORARAeHk54uB5sAtnGfQ7yXl3N1gN1WC2Qf0lf/nB+bx2ViIhI80LDMAwmTZrEG2+8weeff05qaqq3dokfMAyD+d9V8uDb63C6PCTGhjNrQhbDesWbPU1ERHxEs0IjLy+PoqIi3nrrLWJiYti3bx8AcXFxREbqNRGCyVGni/veKOOtkj0AnNe3M0+PzyC+na5eiYjI/9Os52hYLCe/FP7yyy9zyy23nNLvoR9v9X/r9tQwscjO9uo6bFYLd47ux+/O7YVVRyUiIgGrTZ6jcRovuSEBwDAMXvm2goffXU+jy0NSXASzc7MY0uPHf7xZRESCm/6tEzkljoYmpi8q472yvQBc3D+BJ27IoEN0mMnLRETElyk05Get2XWEiUV2Kg7VE2K1MO3yNH4zMvVHj9JERET+S6EhP8owDP6xfAcz399Ak9ugW/tICnOzyOrewexpIiLiJxQaclI19U3c9VopH6/fD8Cl6Yk8fn0GcVGhJi8TERF/otCQH7BXHGZikZ3dR44RZrNy75g0fjW8p45KRESk2RQacpxhGPzty+089uFGXB6D7h2jmJObzaDkOLOniYiIn1JoCACH6xq5c2EpSzZWAXDF4K4UXDeI2AgdlYiISMspNISVOw4xqdjO3poGwkKs/OnKAdw0rLuOSkRE5LQpNIKYx2Pw4hdbeerjctweg16doinMzWZAkl6xVUREWodCI0hVH3WSv6CUL8oPADA2M4lHrh1Eu3B9SYiISOvRo0oQ+mbbQSYX26mqdRIRamXG1emMH5qioxIREWl1Co0g4vYYzPlsC89+Uo7HgN4J7ZiTm02/LjFmTxMRkQCl0AgSVbUN3D6/hK+2HATghiHJPHRNOlFh+hIQERHv0aNMEPhqSzVT5pVQfdRJZKiNR8YO5PohyWbPEhGRIKDQCGAut4dZSzYz+7MtGAb0S4xhzk1Z9E7QUYmIiLQNhUaA2u9oYFKxnRXbDwGQc1YKD16VTkSozeRlIiISTBQaAejzTVXkLyjlUF0j0WE2Zl43iGsyu5k9S0REgpBCI4C43B6eWlzOC59vBaB/11jm5GbRq3M7k5eJiEiwUmgEiD1HjjG52M7KnYcB+MXZPbjviv46KhEREVMpNALAkg37uWNhKUfqm4gJD+Ev1w/misFdzZ4lIiKi0PBnjS4PT3y0kZe+3A7AoG5xFOZm0SM+2uRlIiIi/6bQ8FOVh+qZVGynpPIIALcM78n0MWmEh+ioREREfIdCww99tG4fdy0sxdHgIjYihCfGZXBpehezZ4mIiPyAQsOPOF1uCt7fyD+W7wAgM6U9s3OySOkYZe4wERGRH6HQ8BM7D9YxschO2e4aAG4blcpdl6YRFmI1eZmIiMiPU2j4gffW7GXaojXUOl20jwrlqXEZXNQ/0exZIiIiP0uh4cMamtw88t56XvmmAoChPTowKyeLpPaRJi8TERE5NQoNH7XtwFHyiuxs2OsA4I/nn8Htl/Ql1KajEhER8R8KDR/0Vslu7n29jLpGNx2jw3jmxkzO69vZ7FkiIiLNptDwIcca3cx4Zx3zvqsEYFhqR2blZJEYG2HyMhERkZZRaPiILVW15L1qZ9P+WiwWmHRBbyZf1IcQHZWIiIgfU2j4gNdW7eKBN9dyrMlNp3bhPHtjJiP7dDJ7loiIyGlTaJiovtHFA2+uY9HqXQCM6B3PMzdmkhCjoxIREQkMCg2TbNpXyx9fXcXWA3VYLTD14r7kXdAbm9Vi9jQREZFWo9BoY4ZhMP+7Sh58ex1Ol4fE2HCem5DF2b3izZ4mIiLS6hQabeio08V9b5TxVskeAM7t25lnxmcQ3y7c5GUiIiLeodBoI+v21DCpyM626jpsVgt3jO7L7889A6uOSkREJIApNLzMMAxe+baCh99dT6PLQ9e4CGbnZDG0Z0ezp4mIiHidQsOLHA1NTH+9jPfW7AXgorQEnhyXQYfoMJOXiYiItA2FhpeU7aohr2g1FYfqCbFauOeyNH47KhWLRUclIiISPBQarcwwDP65fAcz399Io9tDt/aRzM7NIrt7B7OniYiItDmFRiuqqW/i7kWlfLRuPwCjByTyxA0ZxEWFmrxMRETEHAqNVmKvOMzEIju7jxwj1Gbh3jH9uWV4Tx2ViIhIUFNonCbDMPjbl9t57MONuDwG3TtGUZibxeDk9mZPExERMZ1C4zQcrmvkzoWlLNlYBcAVg7pScP0gYiN0VCIiIgIKjRZbueMQk4vt7KlpICzEygNXDuDmYd11VCIiIvI/FBrN5PEYvPjFVp76uBy3xyC1UzSFuVmkJ8WZPU1ERMTnKDSa4eBRJ/kLSllafgCAazKTePTaQbQL1x+jiIjIyegR8hR9u+0gk+fZ2e9wEh5i5aFr0hk/NEVHJSIiIj9BofEz3B6D5z/bwjOflOMx4IzO0Tx/0xD6dYkxe5qIiIjPU2j8hKraBm6fX8JXWw4CcH12Mg+PTScqTH9sIiIip0KPmD/iqy3VTJlXQvVRJ5GhNh4eO5AbhiSbPUtERMSvKDS+x+0xeG7JZmZ/uhnDgH6JMRTmZtEnUUclIiIizaXQ+B/7HQ1MLrbz7fZDAEw4M4UHr0onMsxm8jIRERH/pND4j6XlB8ifX8LBukaiw2zMvG4Q12R2M3uWiIiIXwv60HC5PTy1uJwXPt8KQP+usczJzaJX53YmLxMREfF/QR0ae44cY3KxnZU7DwNw89nduf+KAUSE6qhERESkNQRtaHy6cT/5C0o5Ut9ETHgIBdcP4srBSWbPEhERCShBFxpNbg9PfLSJuV9sA2BQtzgKc7PoER9t8jIREZHAE1ShsetwPROL7JRUHgHgluE9mT4mjfAQHZWIiIh4Q9CExkfr9nHXwlIcDS5iI0J4YlwGl6Z3MXuWiIhIQAv40HC63Pzlg428/NUOADJT2jM7J4uUjlHmDhMREQkCAR0aFQfryStaTdnuGgBuG5XKXZemERZiNXmZiIhIcAjY0Hi/bC/3vLaGWqeL9lGhPDUug4v6J5o9S0REJKi06D/tn3/+eVJTU4mIiGDIkCF8+eWXrb2rxRqa3Dzw5lr++Opqap0uhvbowPuTRykyRERETNDs0Jg/fz5Tp07lvvvuw263M2rUKC6//HIqKiq8sa9ZtlfXcd3zy/nXNzsB+OP5Z1D8/51NUvtIk5eJiIgEJ4thGEZzPmDYsGFkZ2fzwgsvHL+tf//+jB07loKCgh+8v9PpxOl0Hv+1w+EgJSWFmpoaYmNjT2P6id4q2c29r5dR1+imY3QYz9yYyXl9O7fa7y8iIhLMHA4HcXFxzX78btYVjcbGRlatWsXo0aNPuH306NEsX778pB9TUFBAXFzc8beUlJTm3OUp2VfTwN2vraGu0c2w1I58MGWUIkNERMQHNCs0qqurcbvdJCae+HyHxMRE9u3bd9KPmT59OjU1NcffKisrW772R3SJi2DG1elMvrA3r/52GImxEa1+HyIiItJ8LfqpE4vFcsKvDcP4wW3/FR4eTnh4eEvuplkmnNXd6/chIiIizdOsKxqdOnXCZrP94OpFVVXVD65yiIiIiDQrNMLCwhgyZAiLFy8+4fbFixczfPjwVh0mIiIi/q/ZRyf5+fn84he/YOjQoZxzzjnMnTuXiooKfv/733tjn4iIiPixZofGjTfeyMGDB3nooYfYu3cvAwcO5P3336dHjx7e2CciIiJ+rNmvo3G6WvpzuCIiImKeNnkdDREREZHmUGiIiIiI1yg0RERExGsUGiIiIuI1Cg0RERHxGoWGiIiIeI1CQ0RERLxGoSEiIiJe06J/vfV0/Pf1wRwOR1vftYiIiLTQfx+3m/s6n20eGrW1tQCkpKS09V2LiIjIaaqtrSUuLu6U37/NX4Lc4/GwZ88eYmJisFgsrfb7OhwOUlJSqKys1Eub+wB9PnyPPie+RZ8P36LPx88zDIPa2lqSkpKwWk/9mRdtfkXDarWSnJzstd8/NjZWXyQ+RJ8P36PPiW/R58O36PPx05pzJeO/9GRQERER8RqFhoiIiHiN7c9//vOfzR7RWmw2G+effz4hIW1+IiQnoc+H79HnxLfo8+Fb9PnwjjZ/MqiIiIgEDx2diIiIiNcoNERERMRrFBoiIiLiNQoNERER8RqFhoiIiHhNwITG888/T2pqKhEREQwZMoQvv/zS7ElBqaCggDPPPJOYmBgSEhIYO3YsmzZtMnuW/EdBQQEWi4WpU6eaPSVo7d69m5tvvpn4+HiioqLIzMxk1apVZs8KWi6Xi/vvv5/U1FQiIyPp1asXDz30EB6Px+xpASMgQmP+/PlMnTqV++67D7vdzqhRo7j88supqKgwe1rQWbp0KXl5eXzzzTcsXrwYl8vF6NGjqaurM3ta0Pvuu++YO3cugwcPNntK0Dp8+DAjRowgNDSUDz74gPXr1/PUU0/Rvn17s6cFrccee4wXX3yRwsJCNmzYwOOPP84TTzzB7NmzzZ4WMALidTSGDRtGdnY2L7zwwvHb+vfvz9ixYykoKDBxmRw4cICEhASWLl3Kueeea/acoHX06FGys7N5/vnneeSRR8jMzOTZZ581e1bQmTZtGl999ZWuuPqQK6+8ksTERP7+978fv+36668nKiqKf/3rXyYuCxx+f0WjsbGRVatWMXr06BNuHz16NMuXLzdplfxXTU0NAB07djR5SXDLy8vjiiuu4OKLLzZ7SlB7++23GTp0KOPGjSMhIYGsrCxeeukls2cFtZEjR7JkyRLKy8sBKC0tZdmyZYwZM8bkZYHD719ntbq6GrfbTWJi4gm3JyYmsm/fPpNWCfz7nxTOz89n5MiRDBw40Ow5QWvevHmsWrWKlStXmj0l6G3bto0XXniB/Px87r33XlasWMHkyZMJDw/nl7/8pdnzgtI999xDTU0NaWlp2Gw23G43jz76KDk5OWZPCxh+Hxr/ZbFYTvi1YRg/uE3a1sSJE1mzZg3Lli0ze0rQqqysZMqUKXz88cdERESYPSfoeTwehg4dysyZMwHIyspi3bp1vPDCCwoNk8yfP59XXnmFoqIi0tPTKSkpYerUqSQlJfGrX/3K7HkBwe9Do1OnTthsth9cvaiqqvrBVQ5pO5MmTeLtt9/miy++IDk52ew5QWvVqlVUVVUxZMiQ47e53W6++OILCgsLcTqd2Gw2ExcGl65duzJgwIATbuvfvz+LFi0yaZHcddddTJs2jQkTJgAwaNAgdu7cSUFBgUKjlfj9czTCwsIYMmQIixcvPuH2xYsXM3z4cJNWBS/DMJg4cSKvv/46n376KampqWZPCmoXXXQRZWVllJSUHH8bOnQoN910EyUlJYqMNjZixIgf/Lh3eXk5PXr0MGmR1NfXY7We+FBos9n0462tyO+vaADk5+fzi1/8gqFDh3LOOecwd+5cKioq+P3vf2/2tKCTl5dHUVERb731FjExMcevNMXFxREZGWnyuuATExPzg+fHREdHEx8fr+fNmOD2229n+PDhzJw5k/Hjx7NixQrmzp3L3LlzzZ4WtK666ioeffRRunfvTnp6Ona7naeffppbb73V7GmBwwgQc+bMMXr06GGEhYUZ2dnZxtKlS82eFJSAk769/PLLZk+T/zjvvPOMKVOmmD0jaL3zzjvGwIEDjfDwcCMtLc2YO3eu2ZOCmsPhMKZMmWJ0797diIiIMHr16mXcd999htPpNHtawAiI19EQERER3+T3z9EQERER36XQEBEREa9RaIiIiIjXKDRERETEaxQaIiIi4jUKDREREfEahYaIiIh4jUJDREREvEahISIiIl6j0BARERGvUWiIiIiI1/z/3+k+bvMM/+0AAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(data)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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h4eFOj51ql8HRIUh5rgOUCtNhpoB63ladz71ibMehJSJye1OmTMGvv/6KAwcOVNlWEATIZOb/PZyUlITExETjc41Gw2SG7GZp997B0SEY2FJp8lpMRAP0ef8Hi8NOMpSvUOJeMbZjIkNEbm3q1KnYuXMnMjIyEBYWZjyuVCpRUlKCGzdumPTK5Ofno3v37mavJZfLIZfLnR4z1XxV7d7r6SGrMNdldnxLTFx3HDLAJJnhXjHVw6ElInJLgiBgypQp2Lp1K77//ntERkaavB4TEwNvb2+kpaUZj+Xl5eHUqVMWExkiR7Bn917A8rCTUuGLlOc6cJm1ndgjQ0RuafLkyVi/fj127NgBPz8/47wXhUKBOnXqQKFQYPz48XjttdcQGBiIgIAAzJgxA61btzauYiJytKp275WhfBn1wJZKs70r5oadKisoSVVjIkNEbiklJQUA0LdvX5Pja9euxQsvvAAAWLJkCby8vDBq1CjcuXMH/fv3R2pqKjw9PV0cLdUW1u7eW9kyanPDTmQ/JjJktwff+FbsEKgGE4Sqd+Lw9fXFsmXLsGzZMhdERGT98mguo3YdzpEhIiKykrXLo7mM2nWYyBAREVnJsHuvpRktMpSvXuIyatdxeCLz4IMPQiaTVXhMnjzZbPvU1FSz7e/eZbccERG5l8p27+UyanE4fI7M0aNHTQq2nTp1CgMHDsTIkSMtnuPv71+hqq2vL7vliIjI/RiWUd+/j4zynn1kyHUcnsg0bNjQ5PnChQvRrFkz9OnTx+I5MpkMSqXS0aEQERE5BZdRuw+nrloqKSnBunXrkJiYaHHLcAC4desWIiIioNPp0K5dO8yfPx/t27ev9NparRZardb4nMXfiIjIlbiM2j04dbLv9u3bUVRUZNzzwZwWLVogNTUVO3fuxIYNG+Dr64sePXrg3LlzlV6bxd+IiMjZdHoBhy4UYkfWVRy6UAidvuptAci1nNojs2bNGsTFxSE0NNRim65du6Jr167G5z169ECHDh2wbNkyfPjhhxbPY/E3IiJypqrqKZF7cFoic/nyZezbtw9bt2616TwPDw906tSpyh4ZFn8jIiJHMFfFOu2MChPXHa9QisBQT4m1kdyH0xKZtWvXolGjRnjsscdsOk8QBGRlZaF169ZOioyIiKicuV4Xpb8cd8v0dtdTItdyyhwZvV6PtWvXYty4cfDyMs2Vxo4di6SkJOPzuXPnYs+ePbh48SKysrIwfvx4ZGVlISEhwRmhERERAaikirVGi6LbpRbPu7eeEonPKT0y+/btQ05ODv75z39WeC0nJwceHn/nT0VFRXjppZegUqmgUCjQvn17ZGRkoHPnzs4IjYiIqNIq1tZiPSX34JREJjY21mLBt/3795s8X7JkCZYsWeKMMIisLmx5aaFtQ6BEJG1VVbG2BuspuQdWvyYiIskzN2G3svkr1elNkaF8F1/WU3IPTGSIiEjS7FkmbW9vCuspuR9WvyYiIsmyOGH3/5ZJ7z6VZ/Y8a6pY16/rDaW/acKjVPhy6bWbYY8MERFJUmUTdu9dJv1oi2BkXr5RYdhpdnxLTFx3HLL/a29gSG4WPtma9ZQkgIkMERFJUlUTdg3LpLsm/w/Xi0uMx+8ddrKmijXrKbk3JjJERCRJ1k7YvTeJASruzsteF2ljIkNERG7DltVH9k7YNbc7L3tdpIuJDBERuQVbVx8ZJuyq1Hdt3tju3t15mcRIG1ctERGR6OxZfWSYsAvA4uqjqnB3XuljIkNERKKqavURUD4MpNNXbGGYsKtUmA4zBdTztuq9uTuv9HFoiYiIRGXt6iNLw0DmJuzGRDRAn/d/sDjsxN15aw4mMkREJCprh3cqa2duwm5V+8Rwd96agUNLREQkKmuHd2wdBrI07MTdeWsW9siQJFlb1VrM92VFbSLrVLX6yDAMFBPRAIcuFNq03wv3ian5mMgQEZGorCkXMLRtCPq8/4NNhSHvvT6XWNdcHFoiIiLRVTYM9FLvSKzKyLa5MCTVDuyRISIil7K0e29lq4+qKgxp2KGXah8mMkRE5DJV7d57/zDQoQuF1VqaTTUfh5aIiMgl7Nm91xFLs6lmYyJDREROZ+/uvc5amk01BxMZIiJyOlt2772XYWm2pdkvMpQPTXGH3tqLiQwRETmdvUNElRWG5A69BDghkZkzZw5kMpnJQ6lUVnpOeno6YmJi4Ovri6ZNm2LlypWODouIiERUnSEi7tBLlXHKqqVWrVph3759xueenp4W22ZnZ2PIkCGYMGEC1q1bh59++gmTJk1Cw4YNMWLECGeER0REDmBpGbU51u7ea2mIiDv0kiVOSWS8vLyq7IUxWLlyJZo0aYKlS5cCAKKionDs2DH8+9//ZiJDROSmqlpGfT9rdu+taoiIO/SSOU6ZI3Pu3DmEhoYiMjISY8aMwcWLFy22PXToEGJjY02ODRo0CMeOHUNpaanF87RaLTQajcmDiIicz55l1ACHiMg5HN4j06VLF3z++edo3rw5/vzzT7zzzjvo3r07Tp8+jcDAipm0SqVCcHCwybHg4GCUlZWhoKAAISHmP9jJycmYO3euXTFaW/jPGUX/pFDskIjIkqqWUVe10y6HiMjRHN4jExcXhxEjRqB169YYMGAAvv22/P9AP/vsM4vnyGSmH2BBEMwev1dSUhLUarXxkZub64DoichdZGRkID4+HqGhoZDJZNi+fbvJ64IgYM6cOQgNDUWdOnXQt29fnD59WqRoaw97l1HfyzBENKxdY3RrFsgkhqrF6cuv69Wrh9atW+PcuXNmX1cqlVCpVCbH8vPz4eXlZbYHx0Aul8Pf39/kQUQ1R3FxMdq2bYvly5ebfX3RokVYvHgxli9fjqNHj0KpVGLgwIG4efOmiyOtXbjTLrkbp9da0mq1OHv2LHr16mX29W7duuGbb74xObZ371507NgR3t7ezg6PiNxUXFwc4uLizL4mCAKWLl2KWbNm4cknnwRQ3usbHByM9evX4+WXX3ZlqLWKtcuog+rJcehCIYePyOkcnsjMmDED8fHxaNKkCfLz8/HOO+9Ao9Fg3LhxAMqHhK5evYrPP/8cAJCQkIDly5cjMTEREyZMwKFDh7BmzRps2LDB0aERUQ2RnZ0NlUplslBALpejT58+OHjwoMVERqvVQqvVGp9zkUA5Ry+jVtT1xmtf/wKVxroVTUTV4fBE5sqVK3j66adRUFCAhg0bomvXrjh8+DAiIiIAAHl5ecjJyTG2j4yMxK5duzB9+nR89NFHCA0NxYcffsil10RkkWE42txCgcuXL1s8rzqLBGoqRy+jFgAU3S4FYLrq1LCiiauTyNEcnshs3Lix0tdTU1MrHOvTpw+OHz/u6FCIqIYzt1CgqkUCiYmJxucajQbh4eFOi8/dGZZR39+zUlXSYVhGfX8CFOwvx90y/f8lMqasWdFEZA+nz5EhInI0w4abKpXKZIuG/Pz8Cr0095LL5ZDL5U6PTwqcsYxaLwh4dvXPFt/z3hVN3NiOHIVFI4lIciIjI6FUKpGWlmY8VlJSgvT0dHTv3l3EyKTDGcuoC25pLba9F1c0kSOxR4aI3NKtW7dw/vx54/Ps7GxkZWUhICAATZo0wbRp07BgwQI8/PDDePjhh7FgwQLUrVsXzzzzjIhRS4czllFXpzAkkb2YyBCRWzp27Bj69etnfG6Y2zJu3Dikpqbi9ddfx507dzBp0iTcuHEDXbp0wd69e+Hn5ydWyJLijKSjuoUhiezBRIaI3FLfvn2Nu3ybI5PJMGfOHMyZM8d1QdUg1iYdMRENrN4PxhGFIYlsxUSGiKgWsibpGNo2BH3e/8HqpdmA5RVNSu4jQ07CRMYBWJDRMXgfiVyrsqRjaNsQrMrItnlptuG6LAxJrsJEhoioFjOXdMRENECf93+we2k28PeKJiJnYyJDRFTL3Z90HLpQaPXSbCYrJDYmMkREtYAt9ZRY4ZqkhIkMEVENZ2s9Je4HQ1LCnX2JiCREpxdw6EIhdmRdxaELhdDpLS9RB/6up3T/UJFh0u7uU3kVzjEszbY0NVeG8kSI+8GQO2CPDBGRRNjas2JvPSXuB0NSwh4ZIiIJsKdnpTr1lAxLs5UK0+EjpcK30qXXRK7GHhkiIjdnb89KdSftcj8YkgImMkREbs7anpXDFwrh4SEzJh1BD8itun5lk3a5Hwy5OyYyRERuztqelcnrj6PoTqnxudJfjvp1vaG+XcoijlRjMZEhInJz1i5zvjeJAYA/NVpjAsNJu1RTcbIvEZGbq2o5tCWG+TP163oj2J+TdqlmYo8MEZGbq2w5dFUEAEW3S/Hl+A4m82c4aZdqCiYyRCKztur3pYWPOTkScmeWKlXXr+NdYUjJnIJiLYa1a+zMEIlEwUSGiEgizC2H1gsCnl39c5XnspwA1VQOnyOTnJyMTp06wc/PD40aNcLw4cPx+++/V3pOamoqZDJZhcfduyxIRkR0L8Ny6GHtGqNbs0B0bRrIcgJUqzk8kUlPT8fkyZNx+PBhpKWloaysDLGxsSguLq70PH9/f+Tl5Zk8fH35LwgiosoY5s8AqJDMcGUS1QYOH1ravXu3yfO1a9eiUaNGyMzMRO/evS2eJ5PJoFQqHR0OEZHk6PSCTbvpWpo/o6ykDhNRTeH0OTJqtRoAEBBQebfmrVu3EBERAZ1Oh3bt2mH+/Plo3769xfZarRZardb4XKPROCZgIiIR2VoY0oDlBKi2cuo+MoIgIDExET179kR0dLTFdi1atEBqaip27tyJDRs2wNfXFz169MC5c+csnpOcnAyFQmF8hIeHO+NPICJyGXsKQ97r/vkzTGKoNnBqIjNlyhT8+uuv2LBhQ6Xtunbtiueeew5t27ZFr1698NVXX6F58+ZYtmyZxXOSkpKgVquNj9zcXEeHT0TkMlUVhgTKC0Pq9LbsIkNU8zltaGnq1KnYuXMnMjIyEBYWZtO5Hh4e6NSpU6U9MnK5HHK5dQXRiIjcnbWFIY9kX2cRR6J7ODyREQQBU6dOxbZt27B//35ERkbadY2srCy0bt3a0eEREbmF+yf0qjTWbTdhbQFJotrC4YnM5MmTsX79euzYsQN+fn5QqVQAAIVCgTp16gAAxo4di8aNGyM5ORkAMHfuXHTt2hUPP/wwNBoNPvzwQ2RlZeGjjz5ydHhERKIzN6E3oJ63VedyYzsiUw5PZFJSUgAAffv2NTm+du1avPDCCwCAnJwceHj8PT2nqKgIL730ElQqFRQKBdq3b4+MjAx07tzZ0eEREYnKMKH3/pku14srLzMgQ/lyam5sR2TKKUNLVdm/f7/J8yVLlmDJkiWODoWIyK1UNqH3XvcXhuTGdkSWsdZSJawt5kfS54z/1lL4/LBgpWtVNaHXoEE9H1wvLjE+58Z2RJYxkSEichFrJ+q+/VgUlIo63NiOyApMZIiIXMTaibpKRR0usSayEhMZIiInuX+JdUxEA4QofKFS3zU7T4YTeolsx0SGiMgJLNVMGto2BKsysjmhl8hBnFqigIioNqqsZtKqjGy81DsSSoXpMJNS4YuU5zpwQi+RjdgjQ0TkQFXVTJIB2PlLHtL/Xz9kXr7BCb1E1cREhojIgaytmZR5+QYn9BI5AIeWiIgcyNol1qyZROQYTGSIiBzI2iXWrJlE5BhMZIiIHKhzZABCFL6wNNtFhvLVS1xiTeQYTGSISPJWrFiByMhI+Pr6IiYmBj/++KNosXh6yDA7viUAVEhmuMSayPGYyBCRpG3atAnTpk3DrFmzcOLECfTq1QtxcXHIyclxyPV1egGHLhRiR9ZVHLpQCJ2+6sK4g6NDkPJcBy6xJnIBrloiqmGkUKzSkRYvXozx48fjxRdfBAAsXboUe/bsQUpKCpKTk6t1bUub2llTwHFwdAgGtlSa7OzLJdZEjsdEhogkq6SkBJmZmXjjjTdMjsfGxuLgwYMV2mu1Wmi1WuNzjUZj8dqGTe3u739Rqe9i4rrjxp6V+8sQ3JuseHrIuMSayMmYyBCRZBUUFECn0yE4ONjkeHBwMFQqVYX2ycnJmDt3bpXXtWZTu7nfnIFeD8z/1r4eGyJyDM6RISLJk8lMh2sEQahwDACSkpKgVquNj9zcXLPXs3ZTu0nrzZfTsuEJAAAgAElEQVQhmLjuOHafyrP9DyEim7FHhogkKygoCJ6enhV6X/Lz8yv00gCAXC6HXC6v8rrV2azu3h6bgS2VnBND5GTskSEiyfLx8UFMTAzS0tJMjqelpaF79+52X7e6m9UZemyOZF+v1nWIqGrskSEiSUtMTMTzzz+Pjh07olu3bli1ahVycnKQkJBg9zUNm9qp1HfNzpOxFssQEDkfExkikrTRo0ejsLAQ8+bNQ15eHqKjo7Fr1y5ERETYfU3DpnYT1x2HDDBJZu5/XhmWISByPg4tEZHkTZo0CZcuXYJWq0VmZiZ69+5d7WtWtqndimfaswwBkZtgjwwRkQWVbWrn4SGz2GMDsAwBkas4rUfG1tonW7ZsQcuWLSGXy9GyZUts27bNWaEREVnNsKndsHaN0a1ZoDE5YRkCIvfglB4ZQ+2TFStWoEePHvj4448RFxeHM2fOoEmTJhXaHzp0CKNHj8b8+fPxxBNPYNu2bRg1ahQOHDiALl26OCNEIqJqYxkCIvHJBEGozqR8s7p06YIOHTogJSXFeCwqKgrDhw83W/tk9OjR0Gg0+O6774zHBg8ejAYNGmDDhg1WvadGo4FCoYBarYa/v3+lbWtbLRqqGS4tfMyqds74fFvz3rZ8B92FFGMmqmmq+z10eI+MrbVPgPIemenTp5scGzRoEJYuXWrxfe6vmaJWqwFUXjvFQK+9XWUbIndjzWcbcM7n25r3NrRxwr+NnMYQq7X3logcr7q/HQ5PZGytfQIAKpXKpvaA5Zop4eHhdkRN5P4UlvN6t3rvmzdvQqFQOC8YB7p58yYA/m4QuQN7fzuctmrJ2ton9rZPSkpCYmKi8bler8f169cRGBho8TyNRoPw8HDk5uayG9nBeG+dRyr3VhAE3Lx5E6GhoWKHYrXQ0FDk5ubCz8+v0t8bqfw3EAPvjWW8N+bdf1+q+9vh8ETG1tonAKBUKm1qD5ivmVK/fn2rYvT39+eHykl4b51HCvdWKj0xBh4eHggLC7O6vRT+G4iF98Yy3hvz7r0v1fntcPjya3tqn3Tr1q1C+71791arVgoRERHVfE4ZWqqq9snYsWPRuHFj4wqmV199Fb1798Z7772HYcOGYceOHdi3bx8OHDjgjPCIiIiohvCcM2fOHEdfNDo6GoGBgViwYAH+/e9/486dO/jiiy/Qtm1bAMAHH3wALy8vDB8+HED5RLuWLVti8eLFWLBgAXJycpCSkoKBAwc6OjR4enqib9++8PLipsaOxnvrPLy34uN/A8t4byzjvTHPkffFKfvIEBEREbkCi0YSERGRZDGRISIiIsliIkNERESSxUSGiIiIJKtWJjKXLl3C+PHjERkZiTp16qBZs2aYPXs2SkpKxA5NklasWIHIyEj4+voiJiYGP/74o9ghSV5ycjI6deoEPz8/NGrUCMOHD8fvv/8udli1Fj/jQEZGBuLj4xEaGgqZTIbt27ebvC4IAubMmYPQ0FDUqVMHffv2xenTp0WK1nWs+a5qtVpMnToVQUFBqFevHoYOHYorV66IFLHrpKSkoE2bNsaN77p162ZSHNpR96VWJjK//fYb9Ho9Pv74Y5w+fRpLlizBypUr8eabb4odmuRs2rQJ06ZNw6xZs3DixAn06tULcXFxyMnJETs0SUtPT8fkyZNx+PBhpKWloaysDLGxsSguLhY7tFqHn/FyxcXFaNu2LZYvX2729UWLFmHx4sVYvnw5jh49CqVSiYEDBxrrWdVU1nxXp02bhm3btmHjxo04cOAAbt26hccffxw6nU7EyJ0vLCwMCxcuxLFjx3Ds2DE8+uijGDZsmDHBddh9EUgQBEFYtGiREBkZKXYYktO5c2chISHB5FiLFi2EN954Q6SIaqb8/HwBgJCeni52KLUOP+MVARC2bdtmfK7X6wWlUiksXLjQeOzu3buCQqEQVq5cKUaIorn/u1pUVCR4e3sLGzduNLa5evWq4OHhIezevVusMEXToEEDYfXq1Q69L7WyR8YctVqNgIAAscOQlJKSEmRmZiI2NtbkeGxsLA4ePChSVDWTWq0GAH5GXYyfcetkZ2dDpVKZ3Ce5XI4+ffrUuvt0/3c1MzMTpaWlJvcmNDQU0dHRtere6HQ6bNy4EcXFxejWrZtD7wu3GgRw4cIFLFu2DP/5z3/EDkVSCgoKoNPpKhT3DA4OrlAElOwnCAISExPRs2dPREdHix1OrcLPuHUM98Lcfbp8+bIYIYnC3HdVpVLBx8cHDRo0MGlbWz5DJ0+eRLdu3XD37l088MAD2LZtG1q2bImsrCyH3Zca1SMzZ84cyGSySh/Hjh0zOefatWsYPHgwRo4ciRdffFGkyKVNJpOZPBcEocIxst+UKVPw66+/YsOGDWKHUmvxM26d2n6fbPmu1pZ788gjjyArKwuHDx/GxIkTMW7cOJw5c8Zie3vuS43qkZkyZQrGjBlTaZsHH3zQ+L+vXbuGfv36GQtbkm2CgoLg6elZIXvOz8+v8C8zss/UqVOxc+dOZGRkICwsTOxwah1+xq2jVCoBlPc+hISEGI/Xpvtk6buqVCpRUlKCGzdumPQ+5Ofno3v37mKE6lI+Pj546KGHAAAdO3bE0aNH8cEHH2D06NEOuy81qkcmKCgILVq0qPTh6+sLALh69Sr69u2LDh06YO3atfDwqFG3wiV8fHwQExODtLQ0k+NpaWm14gvqTIIgYMqUKdi6dSu+//57REZGih1SrcTPuHUiIyOhVCpN7lNJSQnS09Nr/H2q6rsaExMDb29vk3uTl5eHU6dO1fh7Y44gCNBqtY69L46ZhywtV69eFR566CHh0UcfFa5cuSLk5eUZH2SbjRs3Ct7e3sKaNWuEM2fOCNOmTRPq1asnXLp0SezQJG3ixImCQqEQ9u/fb/L5vH37ttih1Tr8jJe7efOmcOLECeHEiRMCAGHx4sXCiRMnhMuXLwuCIAgLFy4UFAqFsHXrVuHkyZPC008/LYSEhAgajUbkyJ3Lmu9qQkKCEBYWJuzbt084fvy48Oijjwpt27YVysrKRIzc+ZKSkoSMjAwhOztb+PXXX4U333xT8PDwEPbu3SsIguPuS61MZNauXSsAMPsg23300UdCRESE4OPjI3To0IFLhB3A0udz7dq1YodWK/EzLgg//PCD2c/kuHHjBEEoX4I9e/ZsQalUCnK5XOjdu7dw8uRJcYN2AWu+q3fu3BGmTJkiBAQECHXq1BEef/xxIScnR7ygXeSf//yn8XvTsGFDoX///sYkRhAcd19kgiAIdvYQEREREYmKE0OIiIhIspjIEBERkWQxkSEiIiLJYiJDREREksVEhoiIiCSLiQwRERFJFhMZIiIikiyHJzIZGRmIj49HaGgoZDIZtm/fXuU56enpiImJga+vL5o2bYqVK1c6OiwiIiKqgRyeyBQXF6Nt27ZYvny5Ve2zs7MxZMgQ9OrVCydOnMCbb76JV155BVu2bHF0aERERFTDOHVnX5lMhm3btmH48OEW28ycORM7d+7E2bNnjccSEhLwyy+/4NChQ84KjYiIiGoAL7EDOHToEGJjY02ODRo0CGvWrEFpaSm8vb3NnqfVaqHVao3P9Xo9rl+/jsDAQMhkMqfGTEQVCYKAmzdvIjQ0VDLV5PV6Pa5duwY/Pz/+bhCJpLq/HaInMiqVCsHBwSbHgoODUVZWhoKCAoSEhJg9Lzk5GXPnznVFiERkg9zcXISFhYkdhlWuXbuG8PBwscMgItj/2yF6IgOgwr+EDKNdlf0LKSkpCYmJicbnarUaTZo0QW5uLvz9/Z0TKBFZpNFoEB4eDj8/P7FDsZohVv5uEImnur8doicySqUSKpXK5Fh+fj68vLwQGBho8Ty5XA65XF7huL+/P3+QiEQkpSEaQ6z83SASn72/HaIPZHfr1g1paWkmx/bu3YuOHTtanB9DREREBDghkbl16xaysrKQlZUFoHx5dVZWFnJycgCUDwmNHTvW2D4hIQGXL19GYmIizp49i08//RRr1qzBjBkzHB0aERER1TAOH1o6duwY+vXrZ3xumMcybtw4pKamIi8vz5jUAEBkZCR27dqF6dOn46OPPkJoaCg+/PBDjBgxwtGhERERUQ3j1H1kXEmj0UChUECtVnOsm0gEUvwOSjFmInek0+lQWloKX19fm8+t7vdQ9DkyREREJG3Dhg1D48aNcfnyZZe/NxMZIiIistvFixfx7bff4vr166KUF2IiQ0RERHb7+uuvAQChoaEm+7u5ChMZIiIispshkZk9e7Yo789EhoiIiOxy8eJFZGZmwtPTE0888QQA4K+//oIr1xExkSEiIiK7GHpj+vXrh6CgIPzjH/9A48aNceTIEZfFwESGiIiI7HLq1CkAwKhRoyCTyaDX61FaWoqPPvrIZTEwkSEiIiK7fPHFF/jjjz8watQoAMDkyZMBAJs2bUJ+fr5LYmAiQ0RERHZ7+OGHoVAoAACdO3dGp06dUFJSgjVr1rjk/ZnIEBERkc1u375t9rihV2blypXQ6XROj4OJDBEREdnk/PnzCAwMxKhRo6DX601eGz16NAIDA/HAAw/gypUrTo+FiQwRSdrVq1fx3HPPITAwEHXr1kW7du2QmZkpdlhENdrXX3+Nu3fvoqioCB4epqmEr68vjh07hlOnTiEiIsLpsTi8+jURkavcuHEDPXr0QL9+/fDdd9+hUaNGuHDhAurXry92aEQ12ldffQUAxkm+93vwwQddFgsTGSKSrPfeew/h4eFYu3at8Zgrf0CJaqM///wTWVlZkMlkGD58uNjhcGiJiKRr586d6NixI0aOHIlGjRqhffv2+OSTTyy212q10Gg0Jg8iss2vv/4KoHy1UlBQkMjRMJEhIgm7ePEiUlJS8PDDD2PPnj1ISEjAK6+8gs8//9xs++TkZCgUCuMjPDzcxRETSZ8hkWnTpo3IkZRjIkNEkqXX69GhQwcsWLAA7du3x8svv4wJEyYgJSXFbPukpCSo1WrjIzc318URE0mfuyUynCNDRJIVEhKCli1bmhyLiorCli1bzLaXy+WQy+WuCI2oxurWrRvUajW6d+8udigAmMgQkYT16NEDv//+u8mxP/74wyVLPolqq4SEBCQkJIgdhhGHlohIsqZPn47Dhw9jwYIFOH/+PNavX49Vq1YZdxYlopqPiQwRSVanTp2wbds2bNiwAdHR0Zg/fz6WLl2KZ599VuzQiGqkvLw8XL16FYIgiB2KERMZIpK0xx9/HCdPnsTdu3dx9uxZTJgwQeyQiGqsDz74AGFhYUhMTBQ7FCMmMkRERGQVw4qlRx55RORI/ua0RGbFihWIjIyEr68vYmJi8OOPP1bafunSpXjkkUdQp04dhIeHY/r06bh7966zwiMiIiIbudvSa8BJicymTZswbdo0zJo1CydOnECvXr0QFxeHnJwcs+2//PJLvPHGG5g9ezbOnj2LNWvWYNOmTUhKSnJGeERERGSjwsJCXL16FQAQHR0tcjR/c0ois3jxYowfPx4vvvgioqKisHTpUoSHh1vcpOrQoUPo0aMHnnnmGTz44IOIjY3F008/jWPHjjkjPCIiIrLRyZMnAQCRkZHw9/cXOZq/OTyRKSkpQWZmJmJjY02Ox8bG4uDBg2bP6dmzJzIzM3HkyBEA5duO79q1C4899pjF92HNFCIiItdxx2ElwAkb4hUUFECn0yE4ONjkeHBwMFQqldlzxowZg7/++gs9e/aEIAgoKyvDxIkT8cYbb1h8n+TkZMydO9ehsRMREZF5v/zyCwD3S2ScNtlXJpOZPBcEocIxg/379+Pdd9/FihUrcPz4cWzduhX//e9/MX/+fIvXZ80UIiIi1xkxYgRee+01DBw4UOxQTDi8RyYoKAienp4Vel/y8/Mr9NIYvP3223j++efx4osvAgBat26N4uJivPTSS5g1axY8PCrmW6yZQkRE5DpDhgzBkCFDxA6jAof3yPj4+CAmJgZpaWkmx9PS0iwWmLp9+3aFZMXT0xOCILjV7oFERETkXpxSNDIxMRHPP/88OnbsiG7dumHVqlXIyckxFpkaO3YsGjdujOTkZABAfHw8Fi9ejPbt26NLly44f/483n77bQwdOhSenp7OCJGIiIisdO7cOVy7dg1t2rRBgwYNxA7HhFMSmdGjR6OwsBDz5s1DXl4eoqOjsWvXLmNF2pycHJMemLfeegsymQxvvfUWrl69ioYNGyI+Ph7vvvuuM8IjIiIiG3z++ed45513MGHCBKxatUrscEzIhBoydqPRaKBQKKBWq91qfTtRbSHF76AUYyYSw7Bhw7Bz504sW7YMU6ZMcei1q/s9ZK0lIiIiqpS77iEDMJEhIiKiSqjValy6dAlA+apid8NEhoiIiCwy9MaEhYW53URfgIkMERERVcJQ9zAmJkbkSMxjIkNEREQWGRKZTp06iRyJeU5Zfk1EREQ1w8yZM9GjRw/06tVL7FDMYiJDREREFrVp08YtVysZcGiJiIiIJIuJDBHVCMnJyZDJZJg2bZrYoRDVGHv27MHq1atx8eJFsUOxiIkMEUne0aNHsWrVKrfu/iaSolWrVmHChAnYunWr2KFYxESGiCTt1q1bePbZZ/HJJ5+45R4XRFJ29OhRAO67YglgIkNEEjd58mQ89thjGDBgQJVttVotNBqNyYOIzPvzzz+Rm5sLmUyGDh06iB2ORVy1RESStXHjRmRmZhr3uahKcnIy5s6d6+SoiGoGw/eqRYsW8PPzEzkay9gjQ0SSlJubi1dffRVffvklfH19rTonKSkJarXa+MjNzXVylETSJYVhJYA9MkQkUZmZmcjPzzfZNl2n0yEjIwPLly+HVquFp6enyTlyuRxyudzVoRJJkrvv6GvARIaIJKl///44efKkybF//OMfaNGiBWbOnFkhiSEi6wmCYExkOnbsKHI0lWMiQ0SS5Ofnh+joaJNj9erVQ2BgYIXjRGQbmUyG06dP49ixY2jXrp3Y4VSKiQwRERFVEBgYiEGDBokdRpWYyBBRjbF//36xQyAiF2MiQ0RERCZef/11eHh44OWXX0ZkZKTY4VSKiQwREREZ6fV6rFq1Cmq1GmPGjBE7nCpxHxkiIiIyunDhAtRqNXx9fdGqVSuxw6mS0xKZFStWIDIyEr6+voiJicGPP/5YafuioiJMnjwZISEh8PX1RVRUFHbt2uWs8IiIiMiMn3/+GQDQrl07eHt7ixxN1ZwytLRp0yZMmzYNK1asQI8ePfDxxx8jLi4OZ86cQZMmTSq0LykpwcCBA9GoUSNs3rwZYWFhyM3NdestkYmIiGoiQ6XrPn36iByJdWSCIAiOvmiXLl3QoUMHpKSkGI9FRUVh+PDhSE5OrtB+5cqVeP/99/Hbb7/Znf1pNBooFAqo1Wr4+/vbHTsR2UeK30EpxkzkTDdu3IBSqURJSQl++eUXtGnTxunvWd3vocOHlkpKSpCZmYnY2FiT47GxsTh48KDZc3bu3Ilu3bph8uTJCA4ORnR0NBYsWACdTmfxfVjFloiIyLG2bNmCkpISREdHuySJcQSHJzIFBQXQ6XQIDg42OR4cHAyVSmX2nIsXL2Lz5s3Q6XTYtWsX3nrrLfznP//Bu+++a/F9kpOToVAojI/w8HCH/h1ERES1jVarRcOGDfHss8+KHYrVnDbZVyaTmTwXBKHCMQO9Xo9GjRph1apViImJwZgxYzBr1iyToan7sYotERGRY02ePBlXr17FK6+8InYoVnP4ZN+goCB4enpW6H3Jz8+v0EtjEBISAm9vb5Mib1FRUVCpVCgpKYGPj0+Fc1jFloiIyPG8vb0lsVrJwOE9Mj4+PoiJiUFaWprJ8bS0NHTv3t3sOT169MD58+eh1+uNx/744w+EhISYTWKIiIjIsX7++WeT/x+WCqcMLSUmJmL16tX49NNPcfbsWUyfPh05OTlISEgAAIwdOxZJSUnG9hMnTkRhYSFeffVV/PHHH/j222+xYMECTJ482RnhERER0T1Onz6Nrl27onnz5igtLRU7HJs4ZR+Z0aNHo7CwEPPmzUNeXh6io6Oxa9cuREREAABycnLg4fF3DhUeHo69e/di+vTpaNOmDRo3boxXX30VM2fOdEZ4REREdI8vv/wSABAdHS2pYSXASfvIiIH7QRCJS4rfQSnGTORoer0eTZs2xeXLl/HVV19h5MiRLn1/t9tHhoiIiKTj4MGDuHz5Mvz8/PD444+LHY7NmMgQERHVYoZhpREjRqBOnToiR2M7JjJERES1VGlpKTZv3gwAePrpp0WOxj5MZIiIiGqp9PR0FBQUoGHDhnj00UfFDscuTlm1RERERO7v0UcfxU8//YQrV67Ay0uaKQF7ZIhIspKTk9GpUyf4+fmhUaNGGD58OH7//XexwyKSDA8PD3Tv3h2jRo0SOxS7MZEhIslKT0/H5MmTcfjwYaSlpaGsrAyxsbEoLi4WOzQichFp9iMREQHYvXu3yfO1a9eiUaNGyMzMRO/evUWKikgapkyZgrKyMiQmJqJ58+Zih2M3JjJEVGOo1WoAQEBAgNnXtVottFqt8blGo3FJXETupri4GGvXrsXt27cxfvx4scOpFg4tEVGNIAgCEhMT0bNnT0RHR5ttk5ycDIVCYXyEh4e7OEoi9/Df//4Xt2/fRtOmTdGxY0exw6kWJjJEVCNMmTIFv/76KzZs2GCxTVJSEtRqtfGRm5vrwgiJ3MfGjRsBAGPGjIFMJhM5murh0BIRSd7UqVOxc+dOZGRkICwszGI7uVwOuVzuwsiI3I9arcauXbsAlCcyUsdEhogkSxAETJ06Fdu2bcP+/fsRGRkpdkhEbm/79u0oKSlBy5YtLQ7DSgkTGSKSrMmTJ2P9+vXYsWMH/Pz8oFKpAAAKhUKSNWOInE0QBKxevRpAzRhWAjhHhogkLCUlBWq1Gn379kVISIjxsWnTJrFDI3JLgiDgmWeeQaNGjTB27Fixw3EI9sgQkWQJgiB2CBalp6dDoVCgXbt2YodCZOTh4YGJEyfihRdeqDG9luyRISJyML1ejwMHDqBfv34m+9YQienu3bvG/11TkhiAiQwRkcPJZDJ88cUXKCoqwuHDh8UOhwhbtmxBVFQU0tLSxA7F4ZjIEBE5gF6vx6JFi6DRaCCTyRATEwMA+N///idyZFTb3bhxA1OmTMGlS5eQnp4udjgOx0SGiKia9Ho9nn/+ecycORNPPPEEBEFA//79AQD79u0TOTqqCUpLS20+R6PR4JtvvsGYMWOgUqnwyCOP4K233nJCdOJiIkNEVE1paWlYv349vLy88NJLL0EmkxkTmSNHjrCmE9ntq6++QosWLTBjxgyLbc6dO4dTp04Zn1+9ehXdunVDQEAAhg4dir1790Imk2H16tXw9fV1RdguxUSGiKiajh49CgAYPXo0Ro8eDQCIiIhAs2bNoNPpkJGRIWZ4JEGGFXleXl74/fffK1R6N8jIyEDz5s1NelqCg4Nx5swZ6HQ6PPTQQ3j55ZeRnp6Onj17uiR2V2MiQ0RUTb/88gsAoG3btibHBwwYAIDDS/Q3QRCwZ8+eSrcOEAQBTz75JN5991307dsXnp6e+OOPP3Dx4sUKbT/77DMAwKFDh4zHvLy8sHnzZly6dAnnzp3DypUr0atXL8f/MW7CaYnMihUrEBkZCV9fX8TExODHH3+06ryNGzdCJpNh+PDhzgqNiMihLCUy/fv3h7+/vxghkRsSBAEDBgzA4MGDsW3bNovtVq5cie3bt2P+/Pn466+/0L17dwDAnj17TNqVlZVhx44dAFChWOrAgQMRERHh4L/APTklkdm0aROmTZuGWbNm4cSJE+jVqxfi4uKQk5NT6XmXL1/GjBkzanTmSEQ1S3FxMc6fPw+gYiIzbNgwFBYWYunSpWKERm5GJpOhR48eAICZM2eipKSkQpvffvsNr732GgBg4cKFeOSRRxAXFwcA+O6770zaZmRkoLCwEIGBgejdu7eTo3dfTklkFi9ejPHjx+PFF19EVFQUli5divDwcKSkpFg8R6fT4dlnn8XcuXPRtGlTZ4RFRORwOTk5CAgIQHBwMIKDg01e8/HxgZcXN1Cn8n/gHzlyBP/v//0/BAcH4/z581i5cqVJm6KiIowaNQp37tzBgAED8MorrwAABg8eDAD4/vvvTTZY3Lp1K4DyhLk2f84cnsiUlJQgMzMTsbGxJsdjY2Nx8OBBi+fNmzcPDRs2xPjx4616H61WC41GY/IgInK1qKgo/PXXXzhz5kyl7YqKilwUEbmbW7duISEhAV26dEFmZibmzZsHAJg7d67xc3H79m3Ex8fj5MmTCA4ORmpqKjw8yv8vul27dlAqlSguLsZPP/0EoHzJvyGRGTFihAh/lftweCJTUFAAnU5X4V8mwcHBxsq09/vpp5+wZs0afPLJJ1a/T3JyMhQKhfERHh5erbiJiOwlk8kQEBBg9rUzZ86gWbNmaNeunVvXhiLnSU1NRVFRER566CH07t0b//znP9GyZUtcv34dCxYsgCAIGDVqFA4cOID69etjz549aNy4sfF8mUyGcePGYcKECQgKCgIAnDhxAnl5efD39zcu9a+tnDbZ9/7S4IIgmC0XfvPmTTz33HP45JNPjP+BrJGUlAS1Wm185ObmVjtmIiJHi4iIQG5uLi5fvowLFy6IHQ65mE6nw5IlSwAA06dPh4eHB7y8vPD+++8DAD744ANcvnwZzz77LBQKBb799tsKc62A8vkyq1atQps2bQAAMTExOHv2LD777DPI5XLX/UFuyOGDakFBQfD09KzQ+5Kfn1+hlwYALly4gEuXLiE+Pt54TK/Xlwf3f+vnmzVrVuE8uVxe6//jEZG49Ho92rRpg6ZNm+LTTz81+4+xevXqoWvXrvjxxx/xv//9Dw899JAIkZJYduzYgYsXLyIgIADjxo0zHo+Li0P//v1RWFgItVqNp59+GoMHD315V9MAACAASURBVEaDBg2svnaLFi3QokULZ4QtKQ7vkfHx8UFMTEyFwlRpaWnGJWT3atGiBU6ePImsrCzjY+jQoejXrx+ysrI4ZEREbis7OxunT5/Gnj17oFAoLLYz7CfDuku1z+LFiwEACQkJqFevnvG4TCbDxo0bkZmZaeyBqSqJ0el0+Pnnn5GZmem8gCXIKUNLiYmJWL16NT799FOcPXsW06dPR05ODhISEgAAY8eORVJSEgDA19cX0dHRJo/69evDz88P0dHR8PHxcUaIRETVZtg/plWrVvD29rbYzjCH4fvvvzf2OFPN9/PPP+Onn36Cj48PpkyZUuH1oKAg44Rea7z33nvo2rUrOnbsiJEjR+LAgQOODFeynJLIjB49GkuXLsW8efPQrl07ZGRkYNeuXcbNeXJycpCXl+eMtyYichlLG+Hdr3PnznjggQdQWFiIY8eOuSK0Gu/atWt49dVX8e2334odikU5OTmIiIjAyJEjERISUu3rGXr2AGDz5s1V7s1WWzht4fmkSZMwadIks6/t37+/0nNTU1MdHxARkYNZm8h4e3tjyJAh+Oqrr7B582Z07tzZFeHVWHq9Hh999BE+/PBD/PTTTxgyZIjZxSRiGzlyJJ566incuXPHIdfr2LGjyfPHHnvMIdeVutq7gw4RUTX9+uuvAKpOZABg3LhxUCgUGDZsmLPDqvGGDBli3JcsMzMT3333HYYMGSJyVObJZDLUrVvXIdfy8PBAq1atcPr0aTRo0KDSeVm1CYtGEpHk2VvbrTo0Gg2ys7MBWJfIDBkyBKtWrTJuUU/2O3XqFG7evGms5jxv3jy326OnoKAAZWVlDr/uxo0bMWDAAOzdu9fh15YqJjJEJGn21narrr/++gtdu3ZFixYtLG6GR46nVqtx9epVAMCaNWtQp04d/PzzzxVWyopt4sSJaNiwIb766iuHXjc6OhppaWkVhplqMyYyRCRp9tR2c4RmzZrh0KFDVZYmuJder8ehQ4cwd+5ct+tBkIrffvsNABASEoLmzZtj4sSJAOBW97SsrAxpaWkoKipCkyZNxA6nxmMiQ0SSZWttN2fUaLNlkundu3cxYMAAzJkzB8ePH6/2e9dGhsSxZcuWAIAZM2bA19cXBw8exPfffy9maEZHjhyBWq1GgwYN0KlTJ7HDqfGYyBCRZNla282RNdpKS0ttPqdu3brGSalff/213e9dm509exbA34lMSEgIpk2bhsTERLRq1UrM0Iz27NkDABg4cCA8PT1FjqbmYyJDRJJnbW236tRo0+l0Jv87KCgIrVq1slgM15KRI0cCKE9k3GUoREoMPTJRUVHGY8nJyfjPf/4DpVIpVlgmDInMoEGDRI6kduDyayKSLFtru1WnRtuiRYuwadMmjBkzBu3btzeuWmrYsKFN13nsscdQp04dXLx4ESdOnECHDh3siqe2atOmDQoKCqxaKSaG69ev4+jRowBQYciTnIOJDBFJ1r213Z544gnj8bS0NIfv17Jlyxb88ssvxk3wAKB169Y2Dx3Uq1cPQ4YMwZYtW/D1118zkbHRggULzB4vKipCRkYGAGDo0KGuDMnEvn37oNfr0apVK4SFhYkWR23CoSUikrSqars5yp49e/DJJ5+gf//+xvo4vXr1sutahuGlzZs3c3jJQXbv3o1hw4Zh3rx5osbRrl07zJ4927iaipxPJtSQb5FGo4FCoYBarYa/v7/Y4RDVOmJ+B1esWIFFixYhLy8P0dHRWLJkCXr37l3lefbG/OeffyIzMxO9e/fGAw88YHO8t27dQsOGDdGgQQNkZmY6pA5PbXDz5k3I5XKzxYSvXLmC8PBweHh4oKioCH5+fiJESPao7m8He2SISPImTZqES5cuQavVGhMMZwoODsaQIUPsSmIA4IEHHsDx48dx5coVJjE2eO+991C3bl3861//qvBaWFgYHnzwQej1ehw+fFiE6EgsTGSIiEQQFRVlHKIi65w9exY6nQ6BgYFmXzeULDhw4IArw8L169exdetWjBw5Eps3b4ZarXbp+9d2/BYREYlIq9XiX//6l8Udgm/duoW8vLwqr6PX6/HSSy+hefPmKCgocHSYTqfX66tsc/9mePczJDKuqLUFADt27EBMTAyCgoIwYsQIbN68GSNHjsSGDRtc8v5UjokMEZGIXn/9dcyfPx8vvPACysrKoFKpsH37dgDl8z569eqFIUOG4NatW5VeJykpCZ988gnOnTuH/fv3uyByx0lISEBAQAAuXbpksU1JSQnOnTsHwHQPmXsZJl8fPnzYrg0LbfXaa6/h+PHjEAQBUVFRmDJlCnbu3ImXXnrJ6e9Nf2MiQ0QkopkzZ6J+/fo4evQoEhMT0bNnTzz11FP473//i7KyMly7dg1ZWVl45plnTDblu9eqVauwaNEi4/MLFy64KnyH+Pjjj6FWq7Fw4UKLbc6fPw+dTgc/Pz80btzYbBtDAc87d+7gxIkTzgoXQHnRUMN9Pn/+PM6cOYNly5YhPj6eQ4YuxrtNRCSi0NBQLF26FACwbNkyXLhwAf+/vTsPiupK2wD+NA0NiMigDHsjiwsyiEsTERWNiIA6GiuLmjFoORKDK0jNAhqNxgSiEpfMuBK1zFJKBUeNigiMLBpQR4QoA1ERGBDEjhY2KGrTcL4/qL5f2m6Qhl7h/VV1ldw+fXm4zW1ez73nHKFQCG9vb7i7u+P06dOwsLDAmTNn8Je//EXp9RkZGVixYgUAwN/fH+Hh4Ua3UKG8gJGvaq3Kby8rdbS+lYmJCY4fP447d+5ofY2jW7duAWgvnry8vLT6vUjnaEI8QgjRs0WLFiE1NRVnz56Fr68vLly4AGdnZwDA+PHjcfToUcyfPx+7du3C06dPMWbMGCxYsAADBw5EUVERWltbERERgaNHj6q1iKWhmDJlCgAgPz8fbW1tKns0VC1NoMr06dM1H1CF4OBgPH78uNPii+gGzSNDCNEIYzwHDSlzc3Mzzp07h9DQUNjY2Cg9n5CQgPXr13NfV1VVYfDgwQCAtLQ0TJs2rdvLL+hbS0sLbG1t8ezZM9y8eRMjR45UanPq1CmkpqYiLCwMERERekhJtKWn5yH1yBBCiAHo168fN+OvKvHx8fDw8EBBQQGqq6u5HhsA3IracvIJ4Yxh5eU1a9agqqqKG7WUl5enspCZO3cu5s6d26V9HjhwAFlZWUhISMDQoUM1mpcYHrpHhhBCjACPx8P777+Pr776CqdOnYKZmZlSG8YYhEIhbG1tUVlZqYeU6svIyMCZM2fg7+8PAMjNze3xPo8dO4bU1FSN7EuVu3fvIjg4WO/LIZB2VMgQQkgvwePxuK75iooKPad5vebmZm5I9aZNm/DVV19h06ZNSu2amppw9+7dDkdtvUo+DFtbE+Pl5+cjOzsbmZmZWtk/UQ8VMoQQ0ovIR9AYwxDskpIStLW1wd7eHsHBwVi9erXKye6ys7MxbNgwBAYGdmm/2p4YT74EQkBAgFb2T9SjtUJm79698PDwgIWFBUQiUae/UMnJyQgKCoKtrS1sbW0REhKCa9euaSsaIYT0Wp6engCMo0fm5s2bAAA/P79O250/fx4AMHz48C7tNzAwECYmJqioqEBdXV3PQqpw9epVAO0jyoj+aaWQSUlJQUxMDNavX4+ioiIEBQVhxowZqK6uVtk+JycH77//PrKzs1FQUAA3NzeEhobSsDZCCFGTMfXI/PzzzwCAUaNGAQDEYjEOHTqE/fv3c21qa2tx+PBhAEBkZGSX9jtgwACMHTsWAJCVlaXJyGhubuYKMOqRMQxaKWR27NiBpUuXIjIyEiNGjMCuXbsgFAqxb98+le2///57rFixAqNHj4a3tzeSk5PR1taGf//739qIRwghvZYx98iUlJQgMjISn332GeQzg2zfvh1SqRRBQUHcfDNdERYWBgBIT0/XaObCwkK0trbCyckJrq6uGt036R6NFzJSqRSFhYUIDQ1V2B4aGor8/Pwu7aO5uRktLS0YOHBgh21evnyJxsZGhQchhPR1v+2RMfRpwvr16wcrKyuuR2b8+PEwMzNDbW0tKisr8fDhQxw4cAAAsGHDBrX2HRYWBlNTU7x48UKjmeWXlQICAoxy8sHeSOPzyDx69Aitra1wcHBQ2O7g4ID6+vou7SMuLg4uLi4ICQnpsE1iYiI2b97co6yEENLbuLu7IywsDJ6enpBKpQY9Sd758+cVVr3u168f3njjDeTn5yM3NxdlZWV48eIFAgICOv17oEpgYCAeP36s8YkOpVIpBg4cSJeVDIjWJsR7tVJljHWpet22bRuOHTuGnJwcWFhYdNguPj4esbGx3NeNjY0QCoXdD0wIIb2AhYWFxi+naNOryxFMmTKFK2RqamoAtPfGqNv7YWpqqpXZmtetW4f4+HhIpVKN75t0j8YvLdnZ2YHP5yv1vojFYqVemlclJSUhISEBGRkZr72L3dzcHAMGDFB4EEII6TqpVIqLFy8q3FyrKx1d9po8eTKA9hl+s7KykJeXpzRzsbo0fesBj8cz6J6uvkbjhYxAIIBIJFKaKCgzMxMTJkzo8HXbt2/Hli1bkJ6ezs3wSAghpHsaGxshFos7bdPS0oKQkBAsX778tW01beHChfDx8cGZM2cUtk+cOBF8Ph+VlZW4f/8+goKCun0vyrNnzzBu3DjY2dmhoaFBrdcyxvDDDz8gPT2dK7pkMlm3chDt0sqopdjYWHz99dc4fPgwysrKsHbtWlRXVyMqKgpA+0qv8fHxXPtt27bh448/xuHDh+Hu7o76+nrU19fj6dOn2ohHCOkFqqqqsHTpUnh4eMDS0hJeXl745JNPqMsf7b3bNjY2+Pvf/95hm9TUVKxdu5b7I33r1i1dxQMA3LhxA2VlZUo9G9bW1ggICMC0adN6PITcysoKT58+RUtLi9qjYFtaWnD06FHMmDEDgYGByMrKwscffww3NzfuBmRiGLRSyMiXm//0008xevRo5OXlIS0tjVuptbq6Gg8ePODa7927F1KpFO+++y6cnJy4R1JSkjbiEUJ6gV9++QVtbW04cOAA/vvf/2Lnzp3Yv38/1q1bp+9oeufi4gKg87lkdu/ejeTkZO5rXRYyv12aQNVtBBERESgrK9PIgo/dHYYtEAiwc+dO8Hg8XL16FdOnT8fOnTtRU1MDU1Nab9mgsF5CIpEwAEwikeg7CiF9kiGcg9u2bWMeHh5dbm8ImbXh6tWrDABzcXFR+XxJSQkDwPh8PouMjGQA2JIlS3SW79q1awwAs7e377BNW1ubRr5Xeno6A8BcXV27tM+KigqFdg8ePGBr1qxhAoGAAWAA2K1btzSSjbTr6XlIay0RQnoNiURC80/h/yfFq62txfPnz5Wel18amTNnDtdjocsemVdn9FVFU3O0TJ48GRYWFrh//z5KS0s7bVtSUoIxY8Zg2bJlaGlpAQA4Ojpi9+7dKC8vR0xMDDZu3Ig//OEPGslGNIMKGUJIr3Dv3j384x//4O7FUyUxMRE2Njbco7dO2TBo0CBuJGdVVZXCc83Nzfjmm28AAFFRUQqz6nZ1demekhcyrxudqgmWlpbcjMCdXV4Si8WYOXMmJBIJfvnlF6VjIRQKsXPnTmzevJkmwjMwVMgQQgzKpk2bwOPxOn1cv35d4TV1dXUIDw/He++91+l6PPHx8ZBIJNxDPk9Jb8Pj8bhemVfvk0lJSYFEIoGnpydCQkLg5eUFS0tLvHjxQmfrM8mXJuisR0aTwsPDAQAXLlzosE1SUhJqamowbNgwnD59utN5zIhhoTuWCCEGZdWqVViwYEGnbdzd3bl/19XVYerUqQgMDMTBgwc7fZ25uXmfmf/Dy8sLxcXFSmsuyS8rffjhh9xkdN999x2cnZ25ARna8PjxYwwaNAgA4Ovri4aGBowePVpr3++3Zs6ciYKCAsyePVvl842Njdxx+fLLLzu9PEkMDxUyhBCDYmdnBzs7uy61ra2txdSpUyESiXDkyBGlWWL7svDwcNjZ2cHX15fbJpPJEBYWhocPH2LJkiXc9rfffltrOe7fv4933nkH5eXlEIvF4PP52LNnj9a+nyrDhg1DSkpKh88fOnQIjY2N8Pb27vHke0T3eIwZ+KpiXdTY2AgbGxtIJBKa5ZcQPdD1OVhXV4cpU6bAzc0N33zzDfh8Pveco6Njl/bRVz83WBeXjOkp+XtUXl4OPp+PoqIijBw5Uuvf93V++/O3tLRgyJAhqK6uxsGDB/Hhhx/qOV3f09PzkHpkCCFGKSMjA+Xl5SgvL4erq6vCc73k/2ca9fz5c1haWgJQHhEkkUiQkpKC2tpajS3GW19fj+DgYJSXl8Pd3R3Z2dkKlwT1QSKRYN26dbCyssK2bdsAAJWVlQAAe3t7RERE6DMe6SbqkSGEaIQxnoPGmFkdTU1NqKysRF1dHZYuXYpvv/0WwcHBSu3ka+HxeDw0NTXBysqKe+6vf/0r0tLS4OPjg1GjRsHPzw/jxo3rtNdLLBbjzTffRFlZGYRCIfLy8vRexADto5ZmzJgBExMT/Oc//8HYsWMBtF9yu3PnDnx8fPScsG/q6XlIhQwhRCOM8Rw0xsxdJZPJYGlpCZlMhgEDBqCxsRErVqzo8P4UR0dHPHz4EFevXsW4ceMAtI94GjJkiFJbS0tLnDt3DlOnTlV6rqGhAZMnT0ZJSQlcXFyQm5sLLy8vzf5wPbBgwQKkpKRAJBLhypUrNEuvAejpeUh3xhFCSC9kamoKNzc3AO1/KPz8/PDll1922F5+78pvJ8aztrbGxo0b8e6772L79u344IMPMGTIEDx//hxr1qxROe9MRUUFnj59CicnJ2RnZxtUEQMAu3btwu9+9zsUFhbi7bff5ia+I8aLSlFCCOmlvLy8UFFRgX79+iElJaXTuVH8/PyQlZXFzfECtN838uo9Mw0NDRg1ahTee+89yGQyhZusAUAkEqG0tBR1dXUGV8QA7T1PW7duxUcffYQzZ85AIBCgqakJ/fv313c00k3UI0MIIb3UzJkzIRAIcPDgQXh7e3faVlWPjCq2trYoLy/Hxo0bO5yTR74auaGKjIzkJuObPXs2FTFGjgoZQgjppWJiYtDY2IiFCxe+tq28kLl58yYYY9i4cSNOnz4NmUym1FYgEChtS01Nxf79+3W2zEFPmJiY4Ny5c4iLi8O+ffv0HYf0EF1aIoSQXqyrMxn7+PjAxMQEjx8/xpUrV7BlyxbweDzcu3cPHh4eKl+TnZ2NzZs3Izk5GatXr0Z9fT34fL5RzMXi4uKCxMREfccgGkA9MoQQQmBpaYnLly/j119/xdmzZwEAoaGhHRYxjDHExcUhNzcXEyZMQH19PYYOHYpFixbpMjYhVMgQQghpFxgYCBsbGxw+fBgAsGzZsg7b8ng8JCUlAQAePXoEANi9e3efWcuKGA4qZAghhHDOnDmD+vp6ODg4dLjIolxQUBDmzp0LoP2m2RkzZugiIiEK6B4ZQgghAICamhq88847AIA///nPMDMze+1rDh8+jMmTJ2Px4sXajkeISlTIEEIIAQCFEUqRkZFdeo2trS3Wrl2rrUiEvBYVMoQQQgAAHh4e2L17N/r37w9PT099xyGkS6iQIYQQwlmzZo2+IxCiFrrZlxBCCCFGS2uFzN69e+Hh4QELCwuIRCJcunSp0/YnTpyAj48PzM3N4ePjg5MnT2orGiGEEEJ6Ca0UMikpKYiJicH69etRVFSEoKAgzJgxA9XV1SrbFxQUYP78+YiIiMDPP/+MiIgIzJs3D1evXtVGPEIIIYT0EjzGGNP0TgMCAjB27FiFNSxGjBiBuXPnqpwSev78+WhsbMT58+e5beHh4bC1tcWxY8e69D0bGxthY2MDiUSCAQMG9PyHIISoxRjPQWPMTEhv09PzUOM3+0qlUhQWFiIuLk5he2hoKPLz81W+pqCgQGn4XlhYGHbt2tXh93n58iVevnzJfS2RSAC0HxBCiO7Jzz0t/N9Ia+RZ6XODEP3p6WeHxguZR48eobW1FQ4ODgrbHRwcUF9fr/I18lkku9oeABITE7F582al7UKhsBupCSGa8vjxY9jY2Og7Rpc0NTUBoM8NQgxBU1NTtz47tDb8msfjKXzNGFPa1pP28fHxiI2N5b5+8uQJBg8ejOrqaqP5EG1sbIRQKERNTY3RdGtTZt0wxswSiQRubm4YOHCgvqN0mbOzM2pqamBtbd3p540xvh+GjI6nZhn78WSMoampCc7Ozt16vcYLGTs7O/D5fKXeFLFYrNTrIufo6KhWe6B9aXpVi5PZ2NgY3Rs5YMAAyqwDlFk3TEyMZ1YHExMTuLq6drm9Mb4fhoyOp2YZ8/HsSQeExj9xBAIBRCIRMjMzFbZnZmZiwoQJKl8TGBio1D4jI6PD9oQQQgghgJYuLcXGxiIiIgL+/v4IDAzEwYMHUV1djaioKADAokWL4OLiwo1gio6OxuTJk7F161a89dZbOH36NLKysnD58mVtxCOEEEJIL8HftGnTJk3v1NfXF4MGDUJCQgKSkpLw/PlzfPvttxg1ahQAYPfu3TA1NeWWfxcKhfDx8cGOHTuQkJCA6upq7Nu3D9OnT1fvh+Hz8eabb8LU1HhWXqDMukGZdcMYM3dVb/7Z9IGOp2b15eOplXlkCCGEEEJ0wXjuyiOEEEIIeQUVMoQQQggxWlTIEEIIIcRoUSFDCCGEEKNlVIXM3r174eHhAQsLC4hEIly6dKnT9idOnICPjw/Mzc3h4+ODkydP6ijp/1Mnc3JyMoKCgmBrawtbW1uEhITg2rVrOkzbTt3jLHf8+HHweDxuNJouqZv5yZMnWLlyJZycnGBhYYERI0YgLS1NR2nbqZt5165dGD58OCwtLSEUCrF27Vq8ePFCR2mBvLw8zJ49G87OzuDxeDh16tRrX5ObmwuRSAQLCwt4enpi//79Okiqed09J/qyxMREvPHGG7C2toa9vT3mzp2L27dvK7R5+fIlVq9eDTs7O1hZWWHOnDm4f/++nhIbl8TERPB4PMTExHDb+uzxZEbi+PHjzMzMjCUnJ7PS0lIWHR3NrKys2P/+9z+V7fPz8xmfz2cJCQmsrKyMJSQkMFNTU3blyhWDzfynP/2J7dmzhxUVFbGysjK2ZMkSZmNjw+7fv2+wmeWqqqqYi4sLCwoKYm+99ZaO0rZTN/PLly+Zv78/mzlzJrt8+TKrqqpily5dYsXFxQab+bvvvmPm5ubs+++/Z5WVlezChQvMycmJxcTE6CxzWloaW79+PTtx4gQDwE6ePNlp+4qKCtavXz8WHR3NSktLWXJyMjMzM2Opqak6SqwZ3T0n+rqwsDB25MgRVlJSwoqLi9msWbOYm5sbe/r0KdcmKiqKubi4sMzMTHbjxg02depUNmrUKCaTyfSY3PBdu3aNubu7Mz8/PxYdHc1t76vH02gKmXHjxrGoqCiFbd7e3iwuLk5l+3nz5rHw8HCFbWFhYWzBggVay/gqdTO/SiaTMWtra3b06FFtxFOpO5llMhmbOHEi+/rrr9nixYt1Xsiom3nfvn3M09OTSaVSXcRTSd3MK1euZMHBwQrbYmNj2aRJk7SWsTNdKWT+9re/MW9vb4VtH330ERs/frw2o2lcT89j0k4sFjMALDc3lzHG2JMnT5iZmRk7fvw416a2tpaZmJiw9PR0fcU0eE1NTWzo0KEsMzOTTZkyhStk+vLxNIpLS1KpFIWFhQgNDVXYHhoaivz8fJWvKSgoUGofFhbWYXtN607mVzU3N6OlpUVni/B1N/Onn36K3//+91i6dKm2IyrpTuYff/wRgYGBWLlyJRwcHODr64uEhAS0trbqInK3Mk+aNAmFhYXcpcaKigqkpaVh1qxZWs/bXR2dg9evX0dLS4ueUqlHE+cxaSeRSACA+zwrLCxES0uLwrF1dnaGr68vHdtOrFy5ErNmzUJISIjC9r58PI1iCsBHjx6htbVVaRFJBwcHpcUm5err69Vqr2ndyfyquLg4uLi4KP3Cakt3Mv/00084dOgQiouLdRFRSXcyV1RU4OLFi1i4cCHS0tJw9+5drFy5EjKZDBs3bjTIzAsWLMCvv/6KSZMmgTEGmUyG5cuXIy4uTut5u6ujc1Amk+HRo0dwcnLSU7Ku08R5TNpXN46NjcWkSZPg6+sLoP33QyAQwNbWVqEtHduOHT9+HIWFhbh+/brSc335eBpFISPH4/EUvmaMKW3rSXtt6G6Gbdu24dixY8jJyYGFhYW24qnU1cxNTU344IMPkJycDDs7O13FU0md49zW1gZ7e3scPHgQfD4fIpEIdXV12L59u04KGTl1Mufk5ODzzz/H3r17ERAQgPLyckRHR8PJyQkbNmzQRdxuUfUzqtpu6Azhs8SYrVq1Cjdv3uzS+nl0bFWrqalBdHQ0MjIy1Pqb0BeOp1EUMnZ2duDz+UpVpVgsVvqfkpyjo6Na7TWtO5nlkpKSkJCQgKysLPj5+WkzpgJ1M9+7dw9VVVWYPXs2t62trQ0AYGpqitu3b8PLy8ugMgOAk5MTzMzMwOfzuW0jRoxAfX09pFIpBAKBwWXesGEDIiIiEBkZCQAYOXIknj17hmXLlmH9+vUwMTG8q8QdnYOmpqYYNGiQnlKppyfnMWm3evVq/Pjjj8jLy4Orqyu33dHREVKpFA0NDQq9CGKxGBMmTNBHVINWWFgIsVgMkUjEbWttbUVeXh7++c9/4sKFC332eBrep58KAoEAIpEImZmZCtszMzM7fIMCAwOV2mdkZOjsDe1OZgDYvn07tmzZgvT0dPj7+2s7pgJ1M3t7e+PWrVsoLi7mHnPmzMHUqVNRXFwMoVBocJkBYOLEiSgvL+eKLgC4c+cOnJyctF7EAN3L3NzcrFSs8Pl8sPYb9rWWtSc6Ogf9/f1hZmamp1Tq6e55TNp7AlatWoV//etfuHjxIjw8PBSeF4lEMDMzUzi2rTgF9AAAAmhJREFUDx48QElJCR1bFaZNm6b0eevv74+FCxdy/+6zx1MPNxh3i3wI5KFDh1hpaSmLiYlhVlZWrKqqijHGWEREhMIogp9++onx+Xz2xRdfsLKyMvbFF1/obfh1VzNv3bqVCQQClpqayh48eMA9mpqaDDbzq/QxakndzNXV1ax///5s1apV7Pbt2+zs2bPM3t6effbZZwab+ZNPPmHW1tbs2LFjrKKigmVkZDAvLy82b948nWVuampiRUVFrKioiAFgO3bsYEVFRdww5Li4OBYREcG1lw+/Xrt2LSstLWWHDh0y6uHXHb1XRLXly5czGxsblpOTo/B51tzczLWJiopirq6uLCsri924cYMFBwf3ieHCmvLbUUuM9d3jaTSFDGOM7dmzhw0ePJgJBAI2duxYbhgfY+1v6OLFixXa//DDD2z48OHMzMyMeXt7sxMnTug4sXqZBw8ezAAoPT755BODzfwqfRQyjKmfOT8/nwUEBDBzc3Pm6enJPv/8c52f7OpkbmlpYZs2bWJeXl7MwsKCCYVCtmLFCtbQ0KCzvNnZ2Sp/P+U5Fy9ezKZMmaLwmpycHDZmzBgmEAiYu7s727dvn87yalJn7xVRTdXvCgB25MgRrs3z58/ZqlWr2MCBA5mlpSX74x//yKqrq/UX2si8Wsj01ePJY8xA+6UJIYQQQl7DKO6RIYQQQghRhQoZQgghhBgtKmQIIYQQYrSokCGEEEKI0aJChhBCCCFGiwoZQgghhBgtKmQIIYQQYrSokCGEEEKI0aJChhBCCCFGiwoZQgghhBgtKmQIIYQQYrSokCGEEEKI0fo/1rId+aRYuI4AAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "ax1 = fig.add_subplot(2,2,1)\n",
    "ax2 = fig.add_subplot(2,2,2)\n",
    "ax3 = fig.add_subplot(2,2,3)\n",
    "ax4 = fig.add_subplot(2,2,4)\n",
    "plt.plot(np.random.randn(50).cumsum(),'k--')\n",
    "_ = ax1.hist(np.random.randn(100),bins=20)\n",
    "ax2.scatter(np.arange(30),np.arange(30)+np.random.randn(30))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 如果这时执⾏⼀条绘图命令（如plt.plot([1.5, 3.5, -2, 1.6])），\n",
    "# matplotlib就会在最后⼀个⽤过的subplot（如果没有则创建⼀个）上进⾏绘制，\n",
    "# 隐藏创建figure和subplot的过程。\n",
    "# 因此，如果我们执⾏下列命令，你就会得到下图所示的结果：\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X = np.linspace(-np.pi,np.pi,256,endpoint=True)\n",
    "C,S = np.cos(X),np.sin(X)\n",
    "\n",
    "plt.plot(X,C)\n",
    "plt.plot(X,S)\n",
    "\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 导入 matplotlib 的所有内容（nympy 可以用 np 这个名字来使用\n",
    "from pylab import *\n",
    "# 创建一个 8 * 6 点（point）的图，并设置分辨率为 80\n",
    "figure(figsize=(8,6),dpi=80)\n",
    "# 创建一个新的 1 * 1 的子图，接下来的图样绘制在其中的第 1 块（也是唯一的一块）\n",
    "subplot(1,1,1)\n",
    "X = np.linspace(-np.pi,np.pi,256,endpoint=True)\n",
    "C,S = np.cos(X),np.sin(X)\n",
    "# 绘制余弦曲线，使用蓝色的、连续的、宽度为 1 （像素）的线条,也可以在这里调整颜色，线宽，线形\n",
    "plot(X,C,color='blue',linewidth=2.5,linestyle='-')\n",
    "# 绘制正弦曲线，使用绿色的、连续的、宽度为 1 （像素）的线条\n",
    "plot(X,S,color='red',linewidth=2.5,linestyle='-')\n",
    "# 设置横轴的上下限\n",
    "xlim(-4.0,4.0)\n",
    "# 设置横轴记号\n",
    "xticks(np.linspace(-4,4,9,endpoint=True))\n",
    "# 设置纵轴的上下限\n",
    "ylim(-1.0,1.0)\n",
    "# 设置纵轴记号\n",
    "yticks(np.linspace(-1,1,5,endpoint=True))\n",
    "# 以分辨率 72 来保存图片\n",
    "# savefig(\"exercice_2.png\",dpi=72)\n",
    "# 在屏幕上显示\n",
    "show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'\\n设置图片边界[源码文件]\\n当前的图片边界设置得不好，所以有些地方看得不是很清楚。\\nxlim(X.min()*1.1, X.max()*1.1) \\nylim(C.min()*1.1, C.max()*1.1) \\n更好的方式是这样：\\n'"
      ]
     },
     "execution_count": 81,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "'''\n",
    "设置图片边界[源码文件]\n",
    "当前的图片边界设置得不好，所以有些地方看得不是很清楚。\n",
    "xlim(X.min()*1.1, X.max()*1.1) \n",
    "ylim(C.min()*1.1, C.max()*1.1) \n",
    "更好的方式是这样：\n",
    "'''"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "figure(figsize=(8,6),dpi=80)\n",
    "subplot(1,1,1)\n",
    "X = np.linspace(-np.pi,np.pi,256,endpoint=True)\n",
    "C,S = np.cos(X),np.sin(X)\n",
    "plot(X,C,color='blue',linewidth=2.5,linestyle='-')\n",
    "plot(X,S,color='red',linewidth=2.5,linestyle='-')\n",
    "\n",
    "# xticks(np.linspace(-4,4,9,endpoint=True))\n",
    "# yticks(np.linspace(-1,1,5,endpoint=True))\n",
    "xticks([-np.pi, -np.pi/2, 0, np.pi/2, np.pi]\n",
    "      ,[r'$-\\pi$', r'$-\\pi/2$', r'$0$', r'$+\\pi/2$', r'$+\\pi$'])\n",
    "\n",
    "yticks([-1, 0, +1]\n",
    "      ,[r'$-1$', r'$0$', r'$+1$'])\n",
    "\n",
    "# xlim(-4.0,4.0)\n",
    "# ylim(-1.0,1.0)\n",
    "\n",
    "xlim(X.min()*1.1, X.max()*1.1) \n",
    "ylim(C.min()*1.1, C.max()*1.1) \n",
    "\n",
    "show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 98,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 移动脊柱\n",
    "\n",
    "figure(figsize=(8,6),dpi=80)\n",
    "subplot(1,1,1)\n",
    "X = np.linspace(-np.pi,np.pi,256,endpoint=True)\n",
    "C,S = np.cos(X),np.sin(X)\n",
    "plot(X,C,color='blue',linewidth=2.5,linestyle='-')\n",
    "plot(X,S,color='red',linewidth=2.5,linestyle='-')\n",
    "\n",
    "# xticks(np.linspace(-4,4,9,endpoint=True))\n",
    "# yticks(np.linspace(-1,1,5,endpoint=True))\n",
    "xticks([-np.pi, -np.pi/2, 0, np.pi/2, np.pi]\n",
    "      ,[r'$-\\pi$', r'$-\\pi/2$', r'$0$', r'$+\\pi/2$', r'$+\\pi$'])\n",
    "yticks([-1, 0, +1]\n",
    "      ,[r'$-1$', r'$0$', r'$+1$'])\n",
    "\n",
    "# xlim(-4.0,4.0)\n",
    "# ylim(-1.0,1.0)\n",
    "\n",
    "# xlim(X.min()*1.1, X.max()*1.1) \n",
    "# ylim(C.min()*1.1, C.max()*1.1) \n",
    "\n",
    "      \n",
    "# 移动脊柱\n",
    "ax = gca()\n",
    "ax.spines['right'].set_color('none')\n",
    "ax.spines['top'].set_color('none')\n",
    "ax.xaxis.set_ticks_position('bottom')\n",
    "ax.spines['bottom'].set_position(('data',0))\n",
    "ax.yaxis.set_ticks_position('left')\n",
    "ax.spines['left'].set_position(('data',0))\n",
    "show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 101,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 添加图例\n",
    "# 我们在图的左上角添加一个图例。为此，我们只需要在 plot 函数里以「键 - 值」的形式增加一个参数。\n",
    "figure(figsize=(8,6),dpi=80)\n",
    "subplot(1,1,1)\n",
    "\n",
    "X = np.linspace(-np.pi,np.pi,256,endpoint=True)\n",
    "C,S = np.cos(X),np.sin(X)\n",
    "\n",
    "plot(X,C,color='blue',linewidth=2.5,linestyle='-',label='cos')\n",
    "plot(X,S,color='red',linewidth=2.5,linestyle='-',label='sin')\n",
    "legend(loc='upper left')\n",
    "\n",
    "# xticks(np.linspace(-4,4,9,endpoint=True))\n",
    "# yticks(np.linspace(-1,1,5,endpoint=True))\n",
    "xticks([-np.pi, -np.pi/2, 0, np.pi/2, np.pi]\n",
    "      ,[r'$-\\pi$', r'$-\\pi/2$', r'$0$', r'$+\\pi/2$', r'$+\\pi$'])\n",
    "\n",
    "yticks([-1, 0, +1]\n",
    "      ,[r'$-1$', r'$0$', r'$+1$'])\n",
    "\n",
    "# xlim(-4.0,4.0)\n",
    "# ylim(-1.0,1.0)\n",
    "\n",
    "xlim(X.min()*1.1, X.max()*1.1) \n",
    "ylim(C.min()*1.1, C.max()*1.1) \n",
    "      \n",
    "# 移动脊柱\n",
    "ax = gca()\n",
    "ax.spines['right'].set_color('none')\n",
    "ax.spines['top'].set_color('none')\n",
    "ax.xaxis.set_ticks_position('bottom')\n",
    "ax.spines['bottom'].set_position(('data',0))\n",
    "ax.yaxis.set_ticks_position('left')\n",
    "ax.spines['left'].set_position(('data',0))\n",
    "show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 108,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 给一些特殊点做注释\n",
    "# 我们希望在 2π/3 的位置给两条函数曲线加上一个注释。\n",
    "# 首先，我们在对应的函数图像位置上画一个点；\n",
    "# 然后，向横轴引一条垂线，以虚线标记；最后，写上标签。\n",
    "figure(figsize=(8,6),dpi=80)\n",
    "subplot(1,1,1)\n",
    "\n",
    "X = np.linspace(-np.pi,np.pi,256,endpoint=True)\n",
    "C,S = np.cos(X),np.sin(X)\n",
    "\n",
    "plot(X,C,color='blue',linewidth=2.5,linestyle='-',label='cos')\n",
    "plot(X,S,color='red',linewidth=2.5,linestyle='-',label='sin')\n",
    "legend(loc='upper left')\n",
    "\n",
    "xticks([-np.pi, -np.pi/2, 0, np.pi/2, np.pi]\n",
    "      ,[r'$-\\pi$', r'$-\\pi/2$', r'$0$', r'$+\\pi/2$', r'$+\\pi$'])\n",
    "\n",
    "yticks([-1, 0, +1]\n",
    "      ,[r'$-1$', r'$0$', r'$+1$'])\n",
    "\n",
    "xlim(X.min()*1.1, X.max()*1.1) \n",
    "ylim(C.min()*1.1, C.max()*1.1) \n",
    "      \n",
    "# 移动脊柱\n",
    "ax = gca()\n",
    "ax.spines['right'].set_color('none')\n",
    "ax.spines['top'].set_color('none')\n",
    "ax.xaxis.set_ticks_position('bottom')\n",
    "ax.spines['bottom'].set_position(('data',0))\n",
    "ax.yaxis.set_ticks_position('left')\n",
    "ax.spines['left'].set_position(('data',0))\n",
    "\n",
    "# 给一些特殊点做注释\n",
    "t = 2*np.pi/3\n",
    "\n",
    "plot([t,t],[0,np.cos(t)], color ='blue', linewidth=2.5, linestyle=\"--\")\n",
    "scatter([t,],[np.cos(t),], 50, color ='blue')\n",
    "\n",
    "annotate(r'$\\sin(\\frac{2\\pi}{3})=\\frac{\\sqrt{3}}{2}$',\n",
    "         xy=(t, np.sin(t)), xycoords='data',\n",
    "         xytext=(+10, +30), textcoords='offset points', fontsize=16,\n",
    "         arrowprops=dict(arrowstyle=\"->\", connectionstyle=\"arc3,rad=.2\")) \n",
    "\n",
    "plot([t,t],[0,np.sin(t)], color ='red', linewidth=2.5, linestyle=\"--\")\n",
    "scatter([t,],[np.sin(t),], 50, color ='red')\n",
    "\n",
    "annotate(r'$\\cos(\\frac{2\\pi}{3})=-\\frac{1}{2}$'\n",
    "        ,xy=(t, np.cos(t)), xycoords='data'\n",
    "        ,xytext=(-90, -50), textcoords='offset points', fontsize=16\n",
    "        ,arrowprops=dict(arrowstyle=\"->\"\n",
    "        , connectionstyle=\"arc3,rad=.2\"))\n",
    "\n",
    "show()\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "interpreter": {
   "hash": "7f5024573d3ea4240f96c297aa78fb8259ad09c113c092d156521d886c56b1e5"
  },
  "kernelspec": {
   "display_name": "Python 3.8.1 64-bit",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
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